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Finding the Fourth Proportional to 512,840.80, 707,316.78 and 478,463.68

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Solution

The fourth proportional to 512,840.80, 707,316.78 and 478,463.68 is: 659,903.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,840.80 : 707,316.78 = 478,463.68 : x
  2. Step 2: Convert to fraction form
    512,840.80/707,316.78 = 478,463.68/x
  3. Step 3: Cross multiply
    512,840.80x = 707,316.78 × 478,463.68
  4. Step 4: Simplify right side
    512,840.80x = 338,425,389,484.55
  5. Step 5: Solve for x
    x = 338,425,389,484.55/512,840.80
  6. Step 6: Final answer
    x = 659,903.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.