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Finding the Fourth Proportional to 417,435.98, 625,319.25 and 192,488.45

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Solution

The fourth proportional to 417,435.98, 625,319.25 and 192,488.45 is: 288,347.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,435.98 : 625,319.25 = 192,488.45 : x
  2. Step 2: Convert to fraction form
    417,435.98/625,319.25 = 192,488.45/x
  3. Step 3: Cross multiply
    417,435.98x = 625,319.25 × 192,488.45
  4. Step 4: Simplify right side
    417,435.98x = 120,366,730,061.07
  5. Step 5: Solve for x
    x = 120,366,730,061.07/417,435.98
  6. Step 6: Final answer
    x = 288,347.76

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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.