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Finding the Fourth Proportional to 265,361.82, 398,065.80 and 85,465.35

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Solution

The fourth proportional to 265,361.82, 398,065.80 and 85,465.35 is: 128,205.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,361.82 : 398,065.80 = 85,465.35 : x
  2. Step 2: Convert to fraction form
    265,361.82/398,065.80 = 85,465.35/x
  3. Step 3: Cross multiply
    265,361.82x = 398,065.80 × 85,465.35
  4. Step 4: Simplify right side
    265,361.82x = 34,020,832,920.03
  5. Step 5: Solve for x
    x = 34,020,832,920.03/265,361.82
  6. Step 6: Final answer
    x = 128,205.46

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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.