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Finding the Fourth Proportional to 526,367.16, 726,342.66 and 311,469.66

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Solution

The fourth proportional to 526,367.16, 726,342.66 and 311,469.66 is: 429,802.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,367.16 : 726,342.66 = 311,469.66 : x
  2. Step 2: Convert to fraction form
    526,367.16/726,342.66 = 311,469.66/x
  3. Step 3: Cross multiply
    526,367.16x = 726,342.66 × 311,469.66
  4. Step 4: Simplify right side
    526,367.16x = 226,233,701,353.70
  5. Step 5: Solve for x
    x = 226,233,701,353.70/526,367.16
  6. Step 6: Final answer
    x = 429,802.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.