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Finding the Fourth Proportional to 299,784.48, 413,786 and 172,501.12

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Solution

The fourth proportional to 299,784.48, 413,786 and 172,501.12 is: 238,099.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,784.48 : 413,786 = 172,501.12 : x
  2. Step 2: Convert to fraction form
    299,784.48/413,786 = 172,501.12/x
  3. Step 3: Cross multiply
    299,784.48x = 413,786 × 172,501.12
  4. Step 4: Simplify right side
    299,784.48x = 71,378,548,440.32
  5. Step 5: Solve for x
    x = 71,378,548,440.32/299,784.48
  6. Step 6: Final answer
    x = 238,099.55

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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.