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Finding the Fourth Proportional to 409,544.70, 614,207.70 and 143,277.45

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Solution

The fourth proportional to 409,544.70, 614,207.70 and 143,277.45 is: 214,877.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,544.70 : 614,207.70 = 143,277.45 : x
  2. Step 2: Convert to fraction form
    409,544.70/614,207.70 = 143,277.45/x
  3. Step 3: Cross multiply
    409,544.70x = 614,207.70 × 143,277.45
  4. Step 4: Simplify right side
    409,544.70x = 88,002,113,026.37
  5. Step 5: Solve for x
    x = 88,002,113,026.37/409,544.70
  6. Step 6: Final answer
    x = 214,877.92

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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.