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Finding the Fourth Proportional to 431,702.20, 647,294.10 and 221,750.20

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Solution

The fourth proportional to 431,702.20, 647,294.10 and 221,750.20 is: 332,492.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,702.20 : 647,294.10 = 221,750.20 : x
  2. Step 2: Convert to fraction form
    431,702.20/647,294.10 = 221,750.20/x
  3. Step 3: Cross multiply
    431,702.20x = 647,294.10 × 221,750.20
  4. Step 4: Simplify right side
    431,702.20x = 143,537,596,133.82
  5. Step 5: Solve for x
    x = 143,537,596,133.82/431,702.20
  6. Step 6: Final answer
    x = 332,492.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.