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Finding the Fourth Proportional to 431,465.01, 647,290.95 and 165,225.53

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Solution

The fourth proportional to 431,465.01, 647,290.95 and 165,225.53 is: 247,874.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,465.01 : 647,290.95 = 165,225.53 : x
  2. Step 2: Convert to fraction form
    431,465.01/647,290.95 = 165,225.53/x
  3. Step 3: Cross multiply
    431,465.01x = 647,290.95 × 165,225.53
  4. Step 4: Simplify right side
    431,465.01x = 106,948,992,186.84
  5. Step 5: Solve for x
    x = 106,948,992,186.84/431,465.01
  6. Step 6: Final answer
    x = 247,874.08

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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.