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Finding the Fourth Proportional to 540,470.80, 745,849.88 and 295,456.64

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Solution

The fourth proportional to 540,470.80, 745,849.88 and 295,456.64 is: 407,730.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,470.80 : 745,849.88 = 295,456.64 : x
  2. Step 2: Convert to fraction form
    540,470.80/745,849.88 = 295,456.64/x
  3. Step 3: Cross multiply
    540,470.80x = 745,849.88 × 295,456.64
  4. Step 4: Simplify right side
    540,470.80x = 220,366,299,489.20
  5. Step 5: Solve for x
    x = 220,366,299,489.20/540,470.80
  6. Step 6: Final answer
    x = 407,730.26

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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.