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Finding the Fourth Proportional to 409,488.42, 614,320.10 and 143,257.62

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Solution

The fourth proportional to 409,488.42, 614,320.10 and 143,257.62 is: 214,917.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,488.42 : 614,320.10 = 143,257.62 : x
  2. Step 2: Convert to fraction form
    409,488.42/614,320.10 = 143,257.62/x
  3. Step 3: Cross multiply
    409,488.42x = 614,320.10 × 143,257.62
  4. Step 4: Simplify right side
    409,488.42x = 88,006,035,444.16
  5. Step 5: Solve for x
    x = 88,006,035,444.16/409,488.42
  6. Step 6: Final answer
    x = 214,917.03

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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.