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Finding the Fourth Proportional to 537,013.67, 805,454.88 and 221,429.57

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Solution

The fourth proportional to 537,013.67, 805,454.88 and 221,429.57 is: 332,117.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,013.67 : 805,454.88 = 221,429.57 : x
  2. Step 2: Convert to fraction form
    537,013.67/805,454.88 = 221,429.57/x
  3. Step 3: Cross multiply
    537,013.67x = 805,454.88 × 221,429.57
  4. Step 4: Simplify right side
    537,013.67x = 178,351,523,705.53
  5. Step 5: Solve for x
    x = 178,351,523,705.53/537,013.67
  6. Step 6: Final answer
    x = 332,117.29

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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.