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Finding the Fourth Proportional to 526,330.50, 726,291.95 and 311,432.91

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Solution

The fourth proportional to 526,330.50, 726,291.95 and 311,432.91 is: 429,751.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,330.50 : 726,291.95 = 311,432.91 : x
  2. Step 2: Convert to fraction form
    526,330.50/726,291.95 = 311,432.91/x
  3. Step 3: Cross multiply
    526,330.50x = 726,291.95 × 311,432.91
  4. Step 4: Simplify right side
    526,330.50x = 226,191,213,940.91
  5. Step 5: Solve for x
    x = 226,191,213,940.91/526,330.50
  6. Step 6: Final answer
    x = 429,751.29

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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.