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Finding the Fourth Proportional to 465,842.80, 698,764.20 and 431,628.40

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Solution

The fourth proportional to 465,842.80, 698,764.20 and 431,628.40 is: 647,442.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,842.80 : 698,764.20 = 431,628.40 : x
  2. Step 2: Convert to fraction form
    465,842.80/698,764.20 = 431,628.40/x
  3. Step 3: Cross multiply
    465,842.80x = 698,764.20 × 431,628.40
  4. Step 4: Simplify right side
    465,842.80x = 301,606,473,623.28
  5. Step 5: Solve for x
    x = 301,606,473,623.28/465,842.80
  6. Step 6: Final answer
    x = 647,442.60

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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.