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Finding the Fourth Proportional to 307,045.92, 460,218.96 and 140,484

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Solution

The fourth proportional to 307,045.92, 460,218.96 and 140,484 is: 210,565.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,045.92 : 460,218.96 = 140,484 : x
  2. Step 2: Convert to fraction form
    307,045.92/460,218.96 = 140,484/x
  3. Step 3: Cross multiply
    307,045.92x = 460,218.96 × 140,484
  4. Step 4: Simplify right side
    307,045.92x = 64,653,400,376.64
  5. Step 5: Solve for x
    x = 64,653,400,376.64/307,045.92
  6. Step 6: Final answer
    x = 210,565.90

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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.