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Finding the Fourth Proportional to 391,106.40, 586,659.60 and 154,327.20

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Solution

The fourth proportional to 391,106.40, 586,659.60 and 154,327.20 is: 231,490.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,106.40 : 586,659.60 = 154,327.20 : x
  2. Step 2: Convert to fraction form
    391,106.40/586,659.60 = 154,327.20/x
  3. Step 3: Cross multiply
    391,106.40x = 586,659.60 × 154,327.20
  4. Step 4: Simplify right side
    391,106.40x = 90,537,533,421.12
  5. Step 5: Solve for x
    x = 90,537,533,421.12/391,106.40
  6. Step 6: Final answer
    x = 231,490.80

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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.