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Finding the Fourth Proportional to 409,574.89, 614,639.13 and 143,337.79

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Solution

The fourth proportional to 409,574.89, 614,639.13 and 143,337.79 is: 215,103.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,574.89 : 614,639.13 = 143,337.79 : x
  2. Step 2: Convert to fraction form
    409,574.89/614,639.13 = 143,337.79/x
  3. Step 3: Cross multiply
    409,574.89x = 614,639.13 × 143,337.79
  4. Step 4: Simplify right side
    409,574.89x = 88,101,014,541.72
  5. Step 5: Solve for x
    x = 88,101,014,541.72/409,574.89
  6. Step 6: Final answer
    x = 215,103.55

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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.