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Finding the Fourth Proportional to 265,686.84, 398,579.40 and 76,139.28

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Solution

The fourth proportional to 265,686.84, 398,579.40 and 76,139.28 is: 114,223.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,686.84 : 398,579.40 = 76,139.28 : x
  2. Step 2: Convert to fraction form
    265,686.84/398,579.40 = 76,139.28/x
  3. Step 3: Cross multiply
    265,686.84x = 398,579.40 × 76,139.28
  4. Step 4: Simplify right side
    265,686.84x = 30,347,548,538.83
  5. Step 5: Solve for x
    x = 30,347,548,538.83/265,686.84
  6. Step 6: Final answer
    x = 114,223.00

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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.