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Finding the Fourth Proportional to 642,133.80, 963,488.70 and 221,711.40

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Solution

The fourth proportional to 642,133.80, 963,488.70 and 221,711.40 is: 332,666.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,133.80 : 963,488.70 = 221,711.40 : x
  2. Step 2: Convert to fraction form
    642,133.80/963,488.70 = 221,711.40/x
  3. Step 3: Cross multiply
    642,133.80x = 963,488.70 × 221,711.40
  4. Step 4: Simplify right side
    642,133.80x = 213,616,428,561.18
  5. Step 5: Solve for x
    x = 213,616,428,561.18/642,133.80
  6. Step 6: Final answer
    x = 332,666.54

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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.