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Finding the Fourth Proportional to 265,729.28, 398,595.36 and 78,742.40

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Solution

The fourth proportional to 265,729.28, 398,595.36 and 78,742.40 is: 118,114.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,729.28 : 398,595.36 = 78,742.40 : x
  2. Step 2: Convert to fraction form
    265,729.28/398,595.36 = 78,742.40/x
  3. Step 3: Cross multiply
    265,729.28x = 398,595.36 × 78,742.40
  4. Step 4: Simplify right side
    265,729.28x = 31,386,355,275.26
  5. Step 5: Solve for x
    x = 31,386,355,275.26/265,729.28
  6. Step 6: Final answer
    x = 118,114.03

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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.