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Finding the Fourth Proportional to 265,608.30, 398,411.64 and 83,253

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Solution

The fourth proportional to 265,608.30, 398,411.64 and 83,253 is: 124,879.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,608.30 : 398,411.64 = 83,253 : x
  2. Step 2: Convert to fraction form
    265,608.30/398,411.64 = 83,253/x
  3. Step 3: Cross multiply
    265,608.30x = 398,411.64 × 83,253
  4. Step 4: Simplify right side
    265,608.30x = 33,168,964,264.92
  5. Step 5: Solve for x
    x = 33,168,964,264.92/265,608.30
  6. Step 6: Final answer
    x = 124,879.25

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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.