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Finding the Fourth Proportional to 265,617, 398,503.53 and 78,633.36

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Solution

The fourth proportional to 265,617, 398,503.53 and 78,633.36 is: 117,973.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,617 : 398,503.53 = 78,633.36 : x
  2. Step 2: Convert to fraction form
    265,617/398,503.53 = 78,633.36/x
  3. Step 3: Cross multiply
    265,617x = 398,503.53 × 78,633.36
  4. Step 4: Simplify right side
    265,617x = 31,335,671,535.76
  5. Step 5: Solve for x
    x = 31,335,671,535.76/265,617
  6. Step 6: Final answer
    x = 117,973.14

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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.