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Finding the Fourth Proportional to 409,813.35, 614,347.86 and 143,428.55

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Solution

The fourth proportional to 409,813.35, 614,347.86 and 143,428.55 is: 215,012.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,813.35 : 614,347.86 = 143,428.55 : x
  2. Step 2: Convert to fraction form
    409,813.35/614,347.86 = 143,428.55/x
  3. Step 3: Cross multiply
    409,813.35x = 614,347.86 × 143,428.55
  4. Step 4: Simplify right side
    409,813.35x = 88,115,020,221.52
  5. Step 5: Solve for x
    x = 88,115,020,221.52/409,813.35
  6. Step 6: Final answer
    x = 215,012.57

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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.