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Finding the Fourth Proportional to 541,494, 747,262.68 and 315,291.12

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Solution

The fourth proportional to 541,494, 747,262.68 and 315,291.12 is: 435,102.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,494 : 747,262.68 = 315,291.12 : x
  2. Step 2: Convert to fraction form
    541,494/747,262.68 = 315,291.12/x
  3. Step 3: Cross multiply
    541,494x = 747,262.68 × 315,291.12
  4. Step 4: Simplify right side
    541,494x = 235,605,287,311.40
  5. Step 5: Solve for x
    x = 235,605,287,311.40/541,494
  6. Step 6: Final answer
    x = 435,102.30

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1.5x scale

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.