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Finding the Fourth Proportional to 457,438.52, 631,206.06 and 256,234.52

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Solution

The fourth proportional to 457,438.52, 631,206.06 and 256,234.52 is: 353,570.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,438.52 : 631,206.06 = 256,234.52 : x
  2. Step 2: Convert to fraction form
    457,438.52/631,206.06 = 256,234.52/x
  3. Step 3: Cross multiply
    457,438.52x = 631,206.06 × 256,234.52
  4. Step 4: Simplify right side
    457,438.52x = 161,736,781,805.19
  5. Step 5: Solve for x
    x = 161,736,781,805.19/457,438.52
  6. Step 6: Final answer
    x = 353,570.53

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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.