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Finding the Fourth Proportional to 347,564.80, 521,347.20 and 272,915.20

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Solution

The fourth proportional to 347,564.80, 521,347.20 and 272,915.20 is: 409,372.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,564.80 : 521,347.20 = 272,915.20 : x
  2. Step 2: Convert to fraction form
    347,564.80/521,347.20 = 272,915.20/x
  3. Step 3: Cross multiply
    347,564.80x = 521,347.20 × 272,915.20
  4. Step 4: Simplify right side
    347,564.80x = 142,283,575,357.44
  5. Step 5: Solve for x
    x = 142,283,575,357.44/347,564.80
  6. Step 6: Final answer
    x = 409,372.80

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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.