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Finding the Fourth Proportional to 391,242.18, 586,330.83 and 166,319.94

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Solution

The fourth proportional to 391,242.18, 586,330.83 and 166,319.94 is: 249,253.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,242.18 : 586,330.83 = 166,319.94 : x
  2. Step 2: Convert to fraction form
    391,242.18/586,330.83 = 166,319.94/x
  3. Step 3: Cross multiply
    391,242.18x = 586,330.83 × 166,319.94
  4. Step 4: Simplify right side
    391,242.18x = 97,518,508,465.75
  5. Step 5: Solve for x
    x = 97,518,508,465.75/391,242.18
  6. Step 6: Final answer
    x = 249,253.57

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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.