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Finding the Fourth Proportional to 457,657.76, 631,565.96 and 256,453.76

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Solution

The fourth proportional to 457,657.76, 631,565.96 and 256,453.76 is: 353,905.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,657.76 : 631,565.96 = 256,453.76 : x
  2. Step 2: Convert to fraction form
    457,657.76/631,565.96 = 256,453.76/x
  3. Step 3: Cross multiply
    457,657.76x = 631,565.96 × 256,453.76
  4. Step 4: Simplify right side
    457,657.76x = 161,967,465,130.01
  5. Step 5: Solve for x
    x = 161,967,465,130.01/457,657.76
  6. Step 6: Final answer
    x = 353,905.21

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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.