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Finding the Fourth Proportional to 284,406.61, 392,447.55 and 157,074.61

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Solution

The fourth proportional to 284,406.61, 392,447.55 and 157,074.61 is: 216,744.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,406.61 : 392,447.55 = 157,074.61 : x
  2. Step 2: Convert to fraction form
    284,406.61/392,447.55 = 157,074.61/x
  3. Step 3: Cross multiply
    284,406.61x = 392,447.55 × 157,074.61
  4. Step 4: Simplify right side
    284,406.61x = 61,643,545,861.71
  5. Step 5: Solve for x
    x = 61,643,545,861.71/284,406.61
  6. Step 6: Final answer
    x = 216,744.42

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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.