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Finding the Fourth Proportional to 642,136.30, 963,492.45 and 221,713.90

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Solution

The fourth proportional to 642,136.30, 963,492.45 and 221,713.90 is: 332,670.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,136.30 : 963,492.45 = 221,713.90 : x
  2. Step 2: Convert to fraction form
    642,136.30/963,492.45 = 221,713.90/x
  3. Step 3: Cross multiply
    642,136.30x = 963,492.45 × 221,713.90
  4. Step 4: Simplify right side
    642,136.30x = 213,619,668,710.06
  5. Step 5: Solve for x
    x = 213,619,668,710.06/642,136.30
  6. Step 6: Final answer
    x = 332,670.29

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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.