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Finding the Fourth Proportional to 407,246.30, 610,869.45 and 344,260.70

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Solution

The fourth proportional to 407,246.30, 610,869.45 and 344,260.70 is: 516,391.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,246.30 : 610,869.45 = 344,260.70 : x
  2. Step 2: Convert to fraction form
    407,246.30/610,869.45 = 344,260.70/x
  3. Step 3: Cross multiply
    407,246.30x = 610,869.45 × 344,260.70
  4. Step 4: Simplify right side
    407,246.30x = 210,298,344,465.62
  5. Step 5: Solve for x
    x = 210,298,344,465.62/407,246.30
  6. Step 6: Final answer
    x = 516,391.05

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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.