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Finding the Fourth Proportional to 265,906.50, 398,859.48 and 97,440

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Solution

The fourth proportional to 265,906.50, 398,859.48 and 97,440 is: 146,159.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,906.50 : 398,859.48 = 97,440 : x
  2. Step 2: Convert to fraction form
    265,906.50/398,859.48 = 97,440/x
  3. Step 3: Cross multiply
    265,906.50x = 398,859.48 × 97,440
  4. Step 4: Simplify right side
    265,906.50x = 38,864,867,731.20
  5. Step 5: Solve for x
    x = 38,864,867,731.20/265,906.50
  6. Step 6: Final answer
    x = 146,159.90

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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.