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Finding the Fourth Proportional to 540,297.31, 745,546.85 and 298,565.47

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Solution

The fourth proportional to 540,297.31, 745,546.85 and 298,565.47 is: 411,985.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,297.31 : 745,546.85 = 298,565.47 : x
  2. Step 2: Convert to fraction form
    540,297.31/745,546.85 = 298,565.47/x
  3. Step 3: Cross multiply
    540,297.31x = 745,546.85 × 298,565.47
  4. Step 4: Simplify right side
    540,297.31x = 222,594,540,456.71
  5. Step 5: Solve for x
    x = 222,594,540,456.71/540,297.31
  6. Step 6: Final answer
    x = 411,985.28

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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.