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Finding the Fourth Proportional to 496,470.20, 744,705.30 and 307,513.40

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Solution

The fourth proportional to 496,470.20, 744,705.30 and 307,513.40 is: 461,270.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,470.20 : 744,705.30 = 307,513.40 : x
  2. Step 2: Convert to fraction form
    496,470.20/744,705.30 = 307,513.40/x
  3. Step 3: Cross multiply
    496,470.20x = 744,705.30 × 307,513.40
  4. Step 4: Simplify right side
    496,470.20x = 229,006,858,801.02
  5. Step 5: Solve for x
    x = 229,006,858,801.02/496,470.20
  6. Step 6: Final answer
    x = 461,270.10

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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.