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Finding the Fourth Proportional to 216,304, 298,498.80 and 120,810.72

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Solution

The fourth proportional to 216,304, 298,498.80 and 120,810.72 is: 166,718.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,304 : 298,498.80 = 120,810.72 : x
  2. Step 2: Convert to fraction form
    216,304/298,498.80 = 120,810.72/x
  3. Step 3: Cross multiply
    216,304x = 298,498.80 × 120,810.72
  4. Step 4: Simplify right side
    216,304x = 36,061,854,947.14
  5. Step 5: Solve for x
    x = 36,061,854,947.14/216,304
  6. Step 6: Final answer
    x = 166,718.39

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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.