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Finding the Fourth Proportional to 564,359.68, 846,565.44 and 143,639.20

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Solution

The fourth proportional to 564,359.68, 846,565.44 and 143,639.20 is: 215,465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,359.68 : 846,565.44 = 143,639.20 : x
  2. Step 2: Convert to fraction form
    564,359.68/846,565.44 = 143,639.20/x
  3. Step 3: Cross multiply
    564,359.68x = 846,565.44 × 143,639.20
  4. Step 4: Simplify right side
    564,359.68x = 121,599,982,549.25
  5. Step 5: Solve for x
    x = 121,599,982,549.25/564,359.68
  6. Step 6: Final answer
    x = 215,465.40

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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.