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Finding the Fourth Proportional to 284,411.28, 392,492.88 and 157,084.14

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Solution

The fourth proportional to 284,411.28, 392,492.88 and 157,084.14 is: 216,779.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,411.28 : 392,492.88 = 157,084.14 : x
  2. Step 2: Convert to fraction form
    284,411.28/392,492.88 = 157,084.14/x
  3. Step 3: Cross multiply
    284,411.28x = 392,492.88 × 157,084.14
  4. Step 4: Simplify right side
    284,411.28x = 61,654,406,510.92
  5. Step 5: Solve for x
    x = 61,654,406,510.92/284,411.28
  6. Step 6: Final answer
    x = 216,779.05

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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.