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Finding the Fourth Proportional to 458,407.52, 687,752.05 and 218,827.14

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Solution

The fourth proportional to 458,407.52, 687,752.05 and 218,827.14 is: 328,307.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,407.52 : 687,752.05 = 218,827.14 : x
  2. Step 2: Convert to fraction form
    458,407.52/687,752.05 = 218,827.14/x
  3. Step 3: Cross multiply
    458,407.52x = 687,752.05 × 218,827.14
  4. Step 4: Simplify right side
    458,407.52x = 150,498,814,130.64
  5. Step 5: Solve for x
    x = 150,498,814,130.64/458,407.52
  6. Step 6: Final answer
    x = 328,307.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.