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Finding the Fourth Proportional to 665,082.80, 997,753.80 and 286,002.80

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Solution

The fourth proportional to 665,082.80, 997,753.80 and 286,002.80 is: 429,059.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,082.80 : 997,753.80 = 286,002.80 : x
  2. Step 2: Convert to fraction form
    665,082.80/997,753.80 = 286,002.80/x
  3. Step 3: Cross multiply
    665,082.80x = 997,753.80 × 286,002.80
  4. Step 4: Simplify right side
    665,082.80x = 285,360,380,510.64
  5. Step 5: Solve for x
    x = 285,360,380,510.64/665,082.80
  6. Step 6: Final answer
    x = 429,059.93

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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.