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Finding the Fourth Proportional to 265,577.28, 398,367.72 and 78,590.40

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Solution

The fourth proportional to 265,577.28, 398,367.72 and 78,590.40 is: 117,886.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,577.28 : 398,367.72 = 78,590.40 : x
  2. Step 2: Convert to fraction form
    265,577.28/398,367.72 = 78,590.40/x
  3. Step 3: Cross multiply
    265,577.28x = 398,367.72 × 78,590.40
  4. Step 4: Simplify right side
    265,577.28x = 31,307,878,461.89
  5. Step 5: Solve for x
    x = 31,307,878,461.89/265,577.28
  6. Step 6: Final answer
    x = 117,886.13

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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.