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Finding the Fourth Proportional to 284,159.82, 392,139.74 and 156,834.50

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Solution

The fourth proportional to 284,159.82, 392,139.74 and 156,834.50 is: 216,431.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,159.82 : 392,139.74 = 156,834.50 : x
  2. Step 2: Convert to fraction form
    284,159.82/392,139.74 = 156,834.50/x
  3. Step 3: Cross multiply
    284,159.82x = 392,139.74 × 156,834.50
  4. Step 4: Simplify right side
    284,159.82x = 61,501,040,053.03
  5. Step 5: Solve for x
    x = 61,501,040,053.03/284,159.82
  6. Step 6: Final answer
    x = 216,431.16

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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.