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Finding the Fourth Proportional to 399,235.34, 598,947.40 and 129,363.04

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Solution

The fourth proportional to 399,235.34, 598,947.40 and 129,363.04 is: 194,075.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,235.34 : 598,947.40 = 129,363.04 : x
  2. Step 2: Convert to fraction form
    399,235.34/598,947.40 = 129,363.04/x
  3. Step 3: Cross multiply
    399,235.34x = 598,947.40 × 129,363.04
  4. Step 4: Simplify right side
    399,235.34x = 77,481,656,464.10
  5. Step 5: Solve for x
    x = 77,481,656,464.10/399,235.34
  6. Step 6: Final answer
    x = 194,075.14

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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.