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Finding the Fourth Proportional to 537,646.20, 806,906.70 and 520,150.20

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Solution

The fourth proportional to 537,646.20, 806,906.70 and 520,150.20 is: 780,648.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,646.20 : 806,906.70 = 520,150.20 : x
  2. Step 2: Convert to fraction form
    537,646.20/806,906.70 = 520,150.20/x
  3. Step 3: Cross multiply
    537,646.20x = 806,906.70 × 520,150.20
  4. Step 4: Simplify right side
    537,646.20x = 419,712,681,386.34
  5. Step 5: Solve for x
    x = 419,712,681,386.34/537,646.20
  6. Step 6: Final answer
    x = 780,648.47

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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.