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Finding the Fourth Proportional to 400,320.43, 600,386.32 and 147,463.61

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Solution

The fourth proportional to 400,320.43, 600,386.32 and 147,463.61 is: 221,160.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,320.43 : 600,386.32 = 147,463.61 : x
  2. Step 2: Convert to fraction form
    400,320.43/600,386.32 = 147,463.61/x
  3. Step 3: Cross multiply
    400,320.43x = 600,386.32 × 147,463.61
  4. Step 4: Simplify right side
    400,320.43x = 88,535,134,141.82
  5. Step 5: Solve for x
    x = 88,535,134,141.82/400,320.43
  6. Step 6: Final answer
    x = 221,160.67

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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.