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Finding the Fourth Proportional to 539,098.20, 808,647.30 and 497,107.80

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Solution

The fourth proportional to 539,098.20, 808,647.30 and 497,107.80 is: 745,661.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,098.20 : 808,647.30 = 497,107.80 : x
  2. Step 2: Convert to fraction form
    539,098.20/808,647.30 = 497,107.80/x
  3. Step 3: Cross multiply
    539,098.20x = 808,647.30 × 497,107.80
  4. Step 4: Simplify right side
    539,098.20x = 401,984,880,278.94
  5. Step 5: Solve for x
    x = 401,984,880,278.94/539,098.20
  6. Step 6: Final answer
    x = 745,661.70

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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.