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Finding the Fourth Proportional to 458,404.88, 632,609.64 and 257,215.76

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Solution

The fourth proportional to 458,404.88, 632,609.64 and 257,215.76 is: 354,963.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,404.88 : 632,609.64 = 257,215.76 : x
  2. Step 2: Convert to fraction form
    458,404.88/632,609.64 = 257,215.76/x
  3. Step 3: Cross multiply
    458,404.88x = 632,609.64 × 257,215.76
  4. Step 4: Simplify right side
    458,404.88x = 162,717,169,335.93
  5. Step 5: Solve for x
    x = 162,717,169,335.93/458,404.88
  6. Step 6: Final answer
    x = 354,963.87

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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.