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Finding the Fourth Proportional to 457,008.42, 631,875.54 and 400,257.12

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Solution

The fourth proportional to 457,008.42, 631,875.54 and 400,257.12 is: 553,409.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,008.42 : 631,875.54 = 400,257.12 : x
  2. Step 2: Convert to fraction form
    457,008.42/631,875.54 = 400,257.12/x
  3. Step 3: Cross multiply
    457,008.42x = 631,875.54 × 400,257.12
  4. Step 4: Simplify right side
    457,008.42x = 252,912,683,838.85
  5. Step 5: Solve for x
    x = 252,912,683,838.85/457,008.42
  6. Step 6: Final answer
    x = 553,409.24

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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.