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Finding the Fourth Proportional to 284,242.86, 392,397.21 and 176,847.66

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Solution

The fourth proportional to 284,242.86, 392,397.21 and 176,847.66 is: 244,138.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,242.86 : 392,397.21 = 176,847.66 : x
  2. Step 2: Convert to fraction form
    284,242.86/392,397.21 = 176,847.66/x
  3. Step 3: Cross multiply
    284,242.86x = 392,397.21 × 176,847.66
  4. Step 4: Simplify right side
    284,242.86x = 69,394,528,379.03
  5. Step 5: Solve for x
    x = 69,394,528,379.03/284,242.86
  6. Step 6: Final answer
    x = 244,138.16

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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.