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Finding the Fourth Proportional to 265,744.96, 398,714.64 and 123,658

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Solution

The fourth proportional to 265,744.96, 398,714.64 and 123,658 is: 185,532.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,744.96 : 398,714.64 = 123,658 : x
  2. Step 2: Convert to fraction form
    265,744.96/398,714.64 = 123,658/x
  3. Step 3: Cross multiply
    265,744.96x = 398,714.64 × 123,658
  4. Step 4: Simplify right side
    265,744.96x = 49,304,254,953.12
  5. Step 5: Solve for x
    x = 49,304,254,953.12/265,744.96
  6. Step 6: Final answer
    x = 185,532.23

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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.