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Finding the Fourth Proportional to 284,289.87, 392,322.96 and 156,965.16

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Solution

The fourth proportional to 284,289.87, 392,322.96 and 156,965.16 is: 216,613.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,289.87 : 392,322.96 = 156,965.16 : x
  2. Step 2: Convert to fraction form
    284,289.87/392,322.96 = 156,965.16/x
  3. Step 3: Cross multiply
    284,289.87x = 392,322.96 × 156,965.16
  4. Step 4: Simplify right side
    284,289.87x = 61,581,036,188.07
  5. Step 5: Solve for x
    x = 61,581,036,188.07/284,289.87
  6. Step 6: Final answer
    x = 216,613.54

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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.