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Finding the Fourth Proportional to 542,312.74, 748,390.28 and 297,297.06

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Solution

The fourth proportional to 542,312.74, 748,390.28 and 297,297.06 is: 410,269.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,312.74 : 748,390.28 = 297,297.06 : x
  2. Step 2: Convert to fraction form
    542,312.74/748,390.28 = 297,297.06/x
  3. Step 3: Cross multiply
    542,312.74x = 748,390.28 × 297,297.06
  4. Step 4: Simplify right side
    542,312.74x = 222,494,229,976.58
  5. Step 5: Solve for x
    x = 222,494,229,976.58/542,312.74
  6. Step 6: Final answer
    x = 410,269.23

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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.