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Finding the Fourth Proportional to 284,329.76, 392,377.76 and 157,002.56

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Solution

The fourth proportional to 284,329.76, 392,377.76 and 157,002.56 is: 216,665.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,329.76 : 392,377.76 = 157,002.56 : x
  2. Step 2: Convert to fraction form
    284,329.76/392,377.76 = 157,002.56/x
  3. Step 3: Cross multiply
    284,329.76x = 392,377.76 × 157,002.56
  4. Step 4: Simplify right side
    284,329.76x = 61,604,312,807.07
  5. Step 5: Solve for x
    x = 61,604,312,807.07/284,329.76
  6. Step 6: Final answer
    x = 216,665.02

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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.