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Finding the Fourth Proportional to 265,908, 398,638.29 and 123,681.03

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Solution

The fourth proportional to 265,908, 398,638.29 and 123,681.03 is: 185,417.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,908 : 398,638.29 = 123,681.03 : x
  2. Step 2: Convert to fraction form
    265,908/398,638.29 = 123,681.03/x
  3. Step 3: Cross multiply
    265,908x = 398,638.29 × 123,681.03
  4. Step 4: Simplify right side
    265,908x = 49,303,994,304.64
  5. Step 5: Solve for x
    x = 49,303,994,304.64/265,908
  6. Step 6: Final answer
    x = 185,417.49

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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.