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Finding the Fourth Proportional to 710,082.60, 1,065,728.70 and 289,660.20

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Solution

The fourth proportional to 710,082.60, 1,065,728.70 and 289,660.20 is: 434,737.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,082.60 : 1,065,728.70 = 289,660.20 : x
  2. Step 2: Convert to fraction form
    710,082.60/1,065,728.70 = 289,660.20/x
  3. Step 3: Cross multiply
    710,082.60x = 1,065,728.70 × 289,660.20
  4. Step 4: Simplify right side
    710,082.60x = 308,699,188,387.74
  5. Step 5: Solve for x
    x = 308,699,188,387.74/710,082.60
  6. Step 6: Final answer
    x = 434,737.01

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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.