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Finding the Fourth Proportional to 409,586.40, 614,656.40 and 143,349.28

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Solution

The fourth proportional to 409,586.40, 614,656.40 and 143,349.28 is: 215,120.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,586.40 : 614,656.40 = 143,349.28 : x
  2. Step 2: Convert to fraction form
    409,586.40/614,656.40 = 143,349.28/x
  3. Step 3: Cross multiply
    409,586.40x = 614,656.40 × 143,349.28
  4. Step 4: Simplify right side
    409,586.40x = 88,110,552,387.39
  5. Step 5: Solve for x
    x = 88,110,552,387.39/409,586.40
  6. Step 6: Final answer
    x = 215,120.80

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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.