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Finding the Fourth Proportional to 260,511.60, 390,475.80 and 110,726.40

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Solution

The fourth proportional to 260,511.60, 390,475.80 and 110,726.40 is: 165,965.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,511.60 : 390,475.80 = 110,726.40 : x
  2. Step 2: Convert to fraction form
    260,511.60/390,475.80 = 110,726.40/x
  3. Step 3: Cross multiply
    260,511.60x = 390,475.80 × 110,726.40
  4. Step 4: Simplify right side
    260,511.60x = 43,235,979,621.12
  5. Step 5: Solve for x
    x = 43,235,979,621.12/260,511.60
  6. Step 6: Final answer
    x = 165,965.66

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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.