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Finding the Fourth Proportional to 458,970.87, 688,456.17 and 143,427.81

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Solution

The fourth proportional to 458,970.87, 688,456.17 and 143,427.81 is: 215,141.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,970.87 : 688,456.17 = 143,427.81 : x
  2. Step 2: Convert to fraction form
    458,970.87/688,456.17 = 143,427.81/x
  3. Step 3: Cross multiply
    458,970.87x = 688,456.17 × 143,427.81
  4. Step 4: Simplify right side
    458,970.87x = 98,743,760,744.09
  5. Step 5: Solve for x
    x = 98,743,760,744.09/458,970.87
  6. Step 6: Final answer
    x = 215,141.67

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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.