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Finding the Fourth Proportional to 534,884.60, 738,043.98 and 343,854.20

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Solution

The fourth proportional to 534,884.60, 738,043.98 and 343,854.20 is: 474,456.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,884.60 : 738,043.98 = 343,854.20 : x
  2. Step 2: Convert to fraction form
    534,884.60/738,043.98 = 343,854.20/x
  3. Step 3: Cross multiply
    534,884.60x = 738,043.98 × 343,854.20
  4. Step 4: Simplify right side
    534,884.60x = 253,779,522,307.72
  5. Step 5: Solve for x
    x = 253,779,522,307.72/534,884.60
  6. Step 6: Final answer
    x = 474,456.59

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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.