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Finding the Fourth Proportional to 409,501.56, 614,339.78 and 143,270.76

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Solution

The fourth proportional to 409,501.56, 614,339.78 and 143,270.76 is: 214,936.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,501.56 : 614,339.78 = 143,270.76 : x
  2. Step 2: Convert to fraction form
    409,501.56/614,339.78 = 143,270.76/x
  3. Step 3: Cross multiply
    409,501.56x = 614,339.78 × 143,270.76
  4. Step 4: Simplify right side
    409,501.56x = 88,016,927,178.83
  5. Step 5: Solve for x
    x = 88,016,927,178.83/409,501.56
  6. Step 6: Final answer
    x = 214,936.73

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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.