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Finding the Fourth Proportional to 654,715.20, 982,312.64 and 275,731.32

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Solution

The fourth proportional to 654,715.20, 982,312.64 and 275,731.32 is: 413,697.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,715.20 : 982,312.64 = 275,731.32 : x
  2. Step 2: Convert to fraction form
    654,715.20/982,312.64 = 275,731.32/x
  3. Step 3: Cross multiply
    654,715.20x = 982,312.64 × 275,731.32
  4. Step 4: Simplify right side
    654,715.20x = 270,854,360,879.89
  5. Step 5: Solve for x
    x = 270,854,360,879.89/654,715.20
  6. Step 6: Final answer
    x = 413,697.99

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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.