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Finding the Fourth Proportional to 535,411.13, 738,765.11 and 306,041.15

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Solution

The fourth proportional to 535,411.13, 738,765.11 and 306,041.15 is: 422,278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,411.13 : 738,765.11 = 306,041.15 : x
  2. Step 2: Convert to fraction form
    535,411.13/738,765.11 = 306,041.15/x
  3. Step 3: Cross multiply
    535,411.13x = 738,765.11 × 306,041.15
  4. Step 4: Simplify right side
    535,411.13x = 226,092,521,618.15
  5. Step 5: Solve for x
    x = 226,092,521,618.15/535,411.13
  6. Step 6: Final answer
    x = 422,278.34

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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.