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Finding the Fourth Proportional to 612,142.05, 918,213.08 and 413,076.45

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Solution

The fourth proportional to 612,142.05, 918,213.08 and 413,076.45 is: 619,614.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,142.05 : 918,213.08 = 413,076.45 : x
  2. Step 2: Convert to fraction form
    612,142.05/918,213.08 = 413,076.45/x
  3. Step 3: Cross multiply
    612,142.05x = 918,213.08 × 413,076.45
  4. Step 4: Simplify right side
    612,142.05x = 379,292,197,364.58
  5. Step 5: Solve for x
    x = 379,292,197,364.58/612,142.05
  6. Step 6: Final answer
    x = 619,614.68

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.