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Finding the Fourth Proportional to 458,279,707.92, 632,479,848.96 and 257,369,600.40

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Solution

The fourth proportional to 458,279,707.92, 632,479,848.96 and 257,369,600.40 is: 355,200,291.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,279,707.92 : 632,479,848.96 = 257,369,600.40 : x
  2. Step 2: Convert to fraction form
    458,279,707.92/632,479,848.96 = 257,369,600.40/x
  3. Step 3: Cross multiply
    458,279,707.92x = 632,479,848.96 × 257,369,600.40
  4. Step 4: Simplify right side
    458,279,707.92x = 162,781,085,987,887,584
  5. Step 5: Solve for x
    x = 162,781,085,987,887,584/458,279,707.92
  6. Step 6: Final answer
    x = 355,200,291.82

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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.