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Finding the Fourth Proportional to 314,456.58, 471,570.66 and 136,920.78

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Solution

The fourth proportional to 314,456.58, 471,570.66 and 136,920.78 is: 205,331.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,456.58 : 471,570.66 = 136,920.78 : x
  2. Step 2: Convert to fraction form
    314,456.58/471,570.66 = 136,920.78/x
  3. Step 3: Cross multiply
    314,456.58x = 471,570.66 × 136,920.78
  4. Step 4: Simplify right side
    314,456.58x = 64,567,822,592.31
  5. Step 5: Solve for x
    x = 64,567,822,592.31/314,456.58
  6. Step 6: Final answer
    x = 205,331.44

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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.