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Finding the Fourth Proportional to 284,172.19, 392,129.69 and 156,839.58

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Solution

The fourth proportional to 284,172.19, 392,129.69 and 156,839.58 is: 216,423.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,172.19 : 392,129.69 = 156,839.58 : x
  2. Step 2: Convert to fraction form
    284,172.19/392,129.69 = 156,839.58/x
  3. Step 3: Cross multiply
    284,172.19x = 392,129.69 × 156,839.58
  4. Step 4: Simplify right side
    284,172.19x = 61,501,453,140.28
  5. Step 5: Solve for x
    x = 61,501,453,140.28/284,172.19
  6. Step 6: Final answer
    x = 216,423.19

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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.