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Finding the Fourth Proportional to 216,294.30, 298,456.65 and 120,788.82

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Solution

The fourth proportional to 216,294.30, 298,456.65 and 120,788.82 is: 166,672.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,294.30 : 298,456.65 = 120,788.82 : x
  2. Step 2: Convert to fraction form
    216,294.30/298,456.65 = 120,788.82/x
  3. Step 3: Cross multiply
    216,294.30x = 298,456.65 × 120,788.82
  4. Step 4: Simplify right side
    216,294.30x = 36,050,226,574.65
  5. Step 5: Solve for x
    x = 36,050,226,574.65/216,294.30
  6. Step 6: Final answer
    x = 166,672.11

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1.5x scale

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.