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Finding the Fourth Proportional to 391,012.62, 586,798.65 and 166,530.30

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Solution

The fourth proportional to 391,012.62, 586,798.65 and 166,530.30 is: 249,914.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,012.62 : 586,798.65 = 166,530.30 : x
  2. Step 2: Convert to fraction form
    391,012.62/586,798.65 = 166,530.30/x
  3. Step 3: Cross multiply
    391,012.62x = 586,798.65 × 166,530.30
  4. Step 4: Simplify right side
    391,012.62x = 97,719,755,224.10
  5. Step 5: Solve for x
    x = 97,719,755,224.10/391,012.62
  6. Step 6: Final answer
    x = 249,914.58

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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.