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Finding the Fourth Proportional to 566,287.53, 781,476.34 and 311,638.73

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Solution

The fourth proportional to 566,287.53, 781,476.34 and 311,638.73 is: 430,061.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,287.53 : 781,476.34 = 311,638.73 : x
  2. Step 2: Convert to fraction form
    566,287.53/781,476.34 = 311,638.73/x
  3. Step 3: Cross multiply
    566,287.53x = 781,476.34 × 311,638.73
  4. Step 4: Simplify right side
    566,287.53x = 243,538,294,122.65
  5. Step 5: Solve for x
    x = 243,538,294,122.65/566,287.53
  6. Step 6: Final answer
    x = 430,061.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.