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Finding the Fourth Proportional to 486,141.15, 729,211.73 and 456,616.65

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Solution

The fourth proportional to 486,141.15, 729,211.73 and 456,616.65 is: 684,924.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,141.15 : 729,211.73 = 456,616.65 : x
  2. Step 2: Convert to fraction form
    486,141.15/729,211.73 = 456,616.65/x
  3. Step 3: Cross multiply
    486,141.15x = 729,211.73 × 456,616.65
  4. Step 4: Simplify right side
    486,141.15x = 332,970,215,010.22
  5. Step 5: Solve for x
    x = 332,970,215,010.22/486,141.15
  6. Step 6: Final answer
    x = 684,924.98

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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.