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Finding the Fourth Proportional to 428,614.12, 642,299.10 and 241,225.48

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Solution

The fourth proportional to 428,614.12, 642,299.10 and 241,225.48 is: 361,488.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,614.12 : 642,299.10 = 241,225.48 : x
  2. Step 2: Convert to fraction form
    428,614.12/642,299.10 = 241,225.48/x
  3. Step 3: Cross multiply
    428,614.12x = 642,299.10 × 241,225.48
  4. Step 4: Simplify right side
    428,614.12x = 154,938,908,701.07
  5. Step 5: Solve for x
    x = 154,938,908,701.07/428,614.12
  6. Step 6: Final answer
    x = 361,488.11

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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.