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Finding the Fourth Proportional to 390,691.59, 588,965.57 and 364,651.46

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Solution

The fourth proportional to 390,691.59, 588,965.57 and 364,651.46 is: 549,710.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,691.59 : 588,965.57 = 364,651.46 : x
  2. Step 2: Convert to fraction form
    390,691.59/588,965.57 = 364,651.46/x
  3. Step 3: Cross multiply
    390,691.59x = 588,965.57 × 364,651.46
  4. Step 4: Simplify right side
    390,691.59x = 214,767,150,222.15
  5. Step 5: Solve for x
    x = 214,767,150,222.15/390,691.59
  6. Step 6: Final answer
    x = 549,710.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.