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Finding the Fourth Proportional to 730,478.84, 1,008,042 and 408,191.58

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Solution

The fourth proportional to 730,478.84, 1,008,042 and 408,191.58 is: 563,293.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,478.84 : 1,008,042 = 408,191.58 : x
  2. Step 2: Convert to fraction form
    730,478.84/1,008,042 = 408,191.58/x
  3. Step 3: Cross multiply
    730,478.84x = 1,008,042 × 408,191.58
  4. Step 4: Simplify right side
    730,478.84x = 411,474,256,686.36
  5. Step 5: Solve for x
    x = 411,474,256,686.36/730,478.84
  6. Step 6: Final answer
    x = 563,293.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.