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Finding the Fourth Proportional to 642,434.24, 963,804.48 and 221,713.76

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Solution

The fourth proportional to 642,434.24, 963,804.48 and 221,713.76 is: 332,623.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,434.24 : 963,804.48 = 221,713.76 : x
  2. Step 2: Convert to fraction form
    642,434.24/963,804.48 = 221,713.76/x
  3. Step 3: Cross multiply
    642,434.24x = 963,804.48 × 221,713.76
  4. Step 4: Simplify right side
    642,434.24x = 213,688,715,165.65
  5. Step 5: Solve for x
    x = 213,688,715,165.65/642,434.24
  6. Step 6: Final answer
    x = 332,623.48

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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.