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Finding the Fourth Proportional to 522,402.78, 782,554.16 and 272,559.90

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Solution

The fourth proportional to 522,402.78, 782,554.16 and 272,559.90 is: 408,292.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,402.78 : 782,554.16 = 272,559.90 : x
  2. Step 2: Convert to fraction form
    522,402.78/782,554.16 = 272,559.90/x
  3. Step 3: Cross multiply
    522,402.78x = 782,554.16 × 272,559.90
  4. Step 4: Simplify right side
    522,402.78x = 213,292,883,594.18
  5. Step 5: Solve for x
    x = 213,292,883,594.18/522,402.78
  6. Step 6: Final answer
    x = 408,292.01

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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.