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Finding the Fourth Proportional to 279,925.76, 420,012.68 and 146,774.34

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Solution

The fourth proportional to 279,925.76, 420,012.68 and 146,774.34 is: 220,226.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,925.76 : 420,012.68 = 146,774.34 : x
  2. Step 2: Convert to fraction form
    279,925.76/420,012.68 = 146,774.34/x
  3. Step 3: Cross multiply
    279,925.76x = 420,012.68 × 146,774.34
  4. Step 4: Simplify right side
    279,925.76x = 61,647,083,164.76
  5. Step 5: Solve for x
    x = 61,647,083,164.76/279,925.76
  6. Step 6: Final answer
    x = 220,226.55

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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.