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Finding the Fourth Proportional to 537,798.20, 804,947.70 and 418,825.40

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Solution

The fourth proportional to 537,798.20, 804,947.70 and 418,825.40 is: 626,875.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,798.20 : 804,947.70 = 418,825.40 : x
  2. Step 2: Convert to fraction form
    537,798.20/804,947.70 = 418,825.40/x
  3. Step 3: Cross multiply
    537,798.20x = 804,947.70 × 418,825.40
  4. Step 4: Simplify right side
    537,798.20x = 337,132,542,431.58
  5. Step 5: Solve for x
    x = 337,132,542,431.58/537,798.20
  6. Step 6: Final answer
    x = 626,875.55

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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.