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Finding the Fourth Proportional to 438,052.10, 657,078.15 and 288,752.90

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Solution

The fourth proportional to 438,052.10, 657,078.15 and 288,752.90 is: 433,129.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,052.10 : 657,078.15 = 288,752.90 : x
  2. Step 2: Convert to fraction form
    438,052.10/657,078.15 = 288,752.90/x
  3. Step 3: Cross multiply
    438,052.10x = 657,078.15 × 288,752.90
  4. Step 4: Simplify right side
    438,052.10x = 189,733,221,339.14
  5. Step 5: Solve for x
    x = 189,733,221,339.14/438,052.10
  6. Step 6: Final answer
    x = 433,129.35

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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.