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Finding the Fourth Proportional to 391,260.80, 586,210.80 and 180,466.40

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Solution

The fourth proportional to 391,260.80, 586,210.80 and 180,466.40 is: 270,385.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,260.80 : 586,210.80 = 180,466.40 : x
  2. Step 2: Convert to fraction form
    391,260.80/586,210.80 = 180,466.40/x
  3. Step 3: Cross multiply
    391,260.80x = 586,210.80 × 180,466.40
  4. Step 4: Simplify right side
    391,260.80x = 105,791,352,717.12
  5. Step 5: Solve for x
    x = 105,791,352,717.12/391,260.80
  6. Step 6: Final answer
    x = 270,385.77

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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.