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Finding the Fourth Proportional to 407,842.40, 611,763.60 and 239,443.40

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Solution

The fourth proportional to 407,842.40, 611,763.60 and 239,443.40 is: 359,165.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,842.40 : 611,763.60 = 239,443.40 : x
  2. Step 2: Convert to fraction form
    407,842.40/611,763.60 = 239,443.40/x
  3. Step 3: Cross multiply
    407,842.40x = 611,763.60 × 239,443.40
  4. Step 4: Simplify right side
    407,842.40x = 146,482,756,380.24
  5. Step 5: Solve for x
    x = 146,482,756,380.24/407,842.40
  6. Step 6: Final answer
    x = 359,165.10

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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.