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Finding the Fourth Proportional to 520,907.88, 781,419.12 and 165,797.40

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Solution

The fourth proportional to 520,907.88, 781,419.12 and 165,797.40 is: 248,714.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,907.88 : 781,419.12 = 165,797.40 : x
  2. Step 2: Convert to fraction form
    520,907.88/781,419.12 = 165,797.40/x
  3. Step 3: Cross multiply
    520,907.88x = 781,419.12 × 165,797.40
  4. Step 4: Simplify right side
    520,907.88x = 129,557,258,406.29
  5. Step 5: Solve for x
    x = 129,557,258,406.29/520,907.88
  6. Step 6: Final answer
    x = 248,714.34

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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.