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Finding the Fourth Proportional to 456,856.65, 685,255.78 and 141,287.13

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Solution

The fourth proportional to 456,856.65, 685,255.78 and 141,287.13 is: 211,921.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,856.65 : 685,255.78 = 141,287.13 : x
  2. Step 2: Convert to fraction form
    456,856.65/685,255.78 = 141,287.13/x
  3. Step 3: Cross multiply
    456,856.65x = 685,255.78 × 141,287.13
  4. Step 4: Simplify right side
    456,856.65x = 96,817,822,472.11
  5. Step 5: Solve for x
    x = 96,817,822,472.11/456,856.65
  6. Step 6: Final answer
    x = 211,921.67

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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.