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Finding the Fourth Proportional to 253,470.72, 349,785.36 and 140,291.04

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Solution

The fourth proportional to 253,470.72, 349,785.36 and 140,291.04 is: 193,599.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,470.72 : 349,785.36 = 140,291.04 : x
  2. Step 2: Convert to fraction form
    253,470.72/349,785.36 = 140,291.04/x
  3. Step 3: Cross multiply
    253,470.72x = 349,785.36 × 140,291.04
  4. Step 4: Simplify right side
    253,470.72x = 49,071,751,931.17
  5. Step 5: Solve for x
    x = 49,071,751,931.17/253,470.72
  6. Step 6: Final answer
    x = 193,599.29

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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.