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Finding the Fourth Proportional to 665,438.33, 997,757.76 and 260,147.77

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Solution

The fourth proportional to 665,438.33, 997,757.76 and 260,147.77 is: 390,065.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,438.33 : 997,757.76 = 260,147.77 : x
  2. Step 2: Convert to fraction form
    665,438.33/997,757.76 = 260,147.77/x
  3. Step 3: Cross multiply
    665,438.33x = 997,757.76 × 260,147.77
  4. Step 4: Simplify right side
    665,438.33x = 259,564,456,264.20
  5. Step 5: Solve for x
    x = 259,564,456,264.20/665,438.33
  6. Step 6: Final answer
    x = 390,065.38

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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.