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Finding the Fourth Proportional to 431,272.98, 646,645.95 and 206,702.10

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Solution

The fourth proportional to 431,272.98, 646,645.95 and 206,702.10 is: 309,926.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,272.98 : 646,645.95 = 206,702.10 : x
  2. Step 2: Convert to fraction form
    431,272.98/646,645.95 = 206,702.10/x
  3. Step 3: Cross multiply
    431,272.98x = 646,645.95 × 206,702.10
  4. Step 4: Simplify right side
    431,272.98x = 133,663,075,821.50
  5. Step 5: Solve for x
    x = 133,663,075,821.50/431,272.98
  6. Step 6: Final answer
    x = 309,926.85

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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.