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Finding the Fourth Proportional to 458,705.28, 633,013.92 and 257,502.72

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Solution

The fourth proportional to 458,705.28, 633,013.92 and 257,502.72 is: 355,354.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,705.28 : 633,013.92 = 257,502.72 : x
  2. Step 2: Convert to fraction form
    458,705.28/633,013.92 = 257,502.72/x
  3. Step 3: Cross multiply
    458,705.28x = 633,013.92 × 257,502.72
  4. Step 4: Simplify right side
    458,705.28x = 163,002,806,197.86
  5. Step 5: Solve for x
    x = 163,002,806,197.86/458,705.28
  6. Step 6: Final answer
    x = 355,354.11

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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.