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Finding the Fourth Proportional to 391,094.70, 586,404.45 and 154,164.30

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Solution

The fourth proportional to 391,094.70, 586,404.45 and 154,164.30 is: 231,152.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,094.70 : 586,404.45 = 154,164.30 : x
  2. Step 2: Convert to fraction form
    391,094.70/586,404.45 = 154,164.30/x
  3. Step 3: Cross multiply
    391,094.70x = 586,404.45 × 154,164.30
  4. Step 4: Simplify right side
    391,094.70x = 90,402,631,551.14
  5. Step 5: Solve for x
    x = 90,402,631,551.14/391,094.70
  6. Step 6: Final answer
    x = 231,152.79

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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.