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Finding the Fourth Proportional to 542,649.40, 812,418.90 and 527,097.40

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Solution

The fourth proportional to 542,649.40, 812,418.90 and 527,097.40 is: 789,135.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,649.40 : 812,418.90 = 527,097.40 : x
  2. Step 2: Convert to fraction form
    542,649.40/812,418.90 = 527,097.40/x
  3. Step 3: Cross multiply
    542,649.40x = 812,418.90 × 527,097.40
  4. Step 4: Simplify right side
    542,649.40x = 428,223,889,900.86
  5. Step 5: Solve for x
    x = 428,223,889,900.86/542,649.40
  6. Step 6: Final answer
    x = 789,135.47

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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.