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Finding the Fourth Proportional to 312,838.34, 469,275.78 and 120,713.78

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Solution

The fourth proportional to 312,838.34, 469,275.78 and 120,713.78 is: 181,077.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,838.34 : 469,275.78 = 120,713.78 : x
  2. Step 2: Convert to fraction form
    312,838.34/469,275.78 = 120,713.78/x
  3. Step 3: Cross multiply
    312,838.34x = 469,275.78 × 120,713.78
  4. Step 4: Simplify right side
    312,838.34x = 56,648,053,266.25
  5. Step 5: Solve for x
    x = 56,648,053,266.25/312,838.34
  6. Step 6: Final answer
    x = 181,077.72

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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.