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Finding the Fourth Proportional to 265,731.30, 398,528.82 and 78,699.06

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Solution

The fourth proportional to 265,731.30, 398,528.82 and 78,699.06 is: 118,028.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,731.30 : 398,528.82 = 78,699.06 : x
  2. Step 2: Convert to fraction form
    265,731.30/398,528.82 = 78,699.06/x
  3. Step 3: Cross multiply
    265,731.30x = 398,528.82 × 78,699.06
  4. Step 4: Simplify right side
    265,731.30x = 31,363,843,516.91
  5. Step 5: Solve for x
    x = 31,363,843,516.91/265,731.30
  6. Step 6: Final answer
    x = 118,028.41

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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.