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Finding the Fourth Proportional to 284,374.47, 392,439.45 and 161,860.86

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Solution

The fourth proportional to 284,374.47, 392,439.45 and 161,860.86 is: 223,369.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,374.47 : 392,439.45 = 161,860.86 : x
  2. Step 2: Convert to fraction form
    284,374.47/392,439.45 = 161,860.86/x
  3. Step 3: Cross multiply
    284,374.47x = 392,439.45 × 161,860.86
  4. Step 4: Simplify right side
    284,374.47x = 63,520,586,874.93
  5. Step 5: Solve for x
    x = 63,520,586,874.93/284,374.47
  6. Step 6: Final answer
    x = 223,369.51

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1.5x scale

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.