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Finding the Fourth Proportional to 476,162.92, 714,223.90 and 143,729

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Solution

The fourth proportional to 476,162.92, 714,223.90 and 143,729 is: 215,587.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,162.92 : 714,223.90 = 143,729 : x
  2. Step 2: Convert to fraction form
    476,162.92/714,223.90 = 143,729/x
  3. Step 3: Cross multiply
    476,162.92x = 714,223.90 × 143,729
  4. Step 4: Simplify right side
    476,162.92x = 102,654,686,923.10
  5. Step 5: Solve for x
    x = 102,654,686,923.10/476,162.92
  6. Step 6: Final answer
    x = 215,587.32

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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.