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Finding the Fourth Proportional to 500,005.28, 750,081.68 and 144,973.20

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Solution

The fourth proportional to 500,005.28, 750,081.68 and 144,973.20 is: 217,481.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,005.28 : 750,081.68 = 144,973.20 : x
  2. Step 2: Convert to fraction form
    500,005.28/750,081.68 = 144,973.20/x
  3. Step 3: Cross multiply
    500,005.28x = 750,081.68 × 144,973.20
  4. Step 4: Simplify right side
    500,005.28x = 108,741,741,410.98
  5. Step 5: Solve for x
    x = 108,741,741,410.98/500,005.28
  6. Step 6: Final answer
    x = 217,481.19

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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.