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Finding the Fourth Proportional to 409,572.51, 614,635.40 and 143,335.35

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Solution

The fourth proportional to 409,572.51, 614,635.40 and 143,335.35 is: 215,099.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,572.51 : 614,635.40 = 143,335.35 : x
  2. Step 2: Convert to fraction form
    409,572.51/614,635.40 = 143,335.35/x
  3. Step 3: Cross multiply
    409,572.51x = 614,635.40 × 143,335.35
  4. Step 4: Simplify right side
    409,572.51x = 88,098,979,464.71
  5. Step 5: Solve for x
    x = 88,098,979,464.71/409,572.51
  6. Step 6: Final answer
    x = 215,099.84

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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.