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Finding the Fourth Proportional to 522,605.80, 782,742.30 and 403,892.20

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Solution

The fourth proportional to 522,605.80, 782,742.30 and 403,892.20 is: 604,936.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,605.80 : 782,742.30 = 403,892.20 : x
  2. Step 2: Convert to fraction form
    522,605.80/782,742.30 = 403,892.20/x
  3. Step 3: Cross multiply
    522,605.80x = 782,742.30 × 403,892.20
  4. Step 4: Simplify right side
    522,605.80x = 316,143,509,580.06
  5. Step 5: Solve for x
    x = 316,143,509,580.06/522,605.80
  6. Step 6: Final answer
    x = 604,936.86

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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.