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Finding the Fourth Proportional to 437,915.80, 657,132.90 and 288,587.80

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Solution

The fourth proportional to 437,915.80, 657,132.90 and 288,587.80 is: 433,052.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,915.80 : 657,132.90 = 288,587.80 : x
  2. Step 2: Convert to fraction form
    437,915.80/657,132.90 = 288,587.80/x
  3. Step 3: Cross multiply
    437,915.80x = 657,132.90 × 288,587.80
  4. Step 4: Simplify right side
    437,915.80x = 189,640,537,918.62
  5. Step 5: Solve for x
    x = 189,640,537,918.62/437,915.80
  6. Step 6: Final answer
    x = 433,052.51

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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.