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Finding the Fourth Proportional to 522,713.30, 782,903.55 and 403,999.70

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Solution

The fourth proportional to 522,713.30, 782,903.55 and 403,999.70 is: 605,098.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,713.30 : 782,903.55 = 403,999.70 : x
  2. Step 2: Convert to fraction form
    522,713.30/782,903.55 = 403,999.70/x
  3. Step 3: Cross multiply
    522,713.30x = 782,903.55 × 403,999.70
  4. Step 4: Simplify right side
    522,713.30x = 316,292,799,328.94
  5. Step 5: Solve for x
    x = 316,292,799,328.94/522,713.30
  6. Step 6: Final answer
    x = 605,098.05

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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.