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Finding the Fourth Proportional to 486,041.70, 729,062.55 and 385,658.40

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Solution

The fourth proportional to 486,041.70, 729,062.55 and 385,658.40 is: 578,487.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,041.70 : 729,062.55 = 385,658.40 : x
  2. Step 2: Convert to fraction form
    486,041.70/729,062.55 = 385,658.40/x
  3. Step 3: Cross multiply
    486,041.70x = 729,062.55 × 385,658.40
  4. Step 4: Simplify right side
    486,041.70x = 281,169,096,532.92
  5. Step 5: Solve for x
    x = 281,169,096,532.92/486,041.70
  6. Step 6: Final answer
    x = 578,487.60

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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.