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Finding the Fourth Proportional to 642,656.31, 963,647.51 and 221,832.15

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Solution

The fourth proportional to 642,656.31, 963,647.51 and 221,832.15 is: 332,631.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,656.31 : 963,647.51 = 221,832.15 : x
  2. Step 2: Convert to fraction form
    642,656.31/963,647.51 = 221,832.15/x
  3. Step 3: Cross multiply
    642,656.31x = 963,647.51 × 221,832.15
  4. Step 4: Simplify right side
    642,656.31x = 213,767,997,876.29
  5. Step 5: Solve for x
    x = 213,767,997,876.29/642,656.31
  6. Step 6: Final answer
    x = 332,631.91

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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.