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Finding the Fourth Proportional to 561,351.42, 774,655.92 and 306,697.14

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Solution

The fourth proportional to 561,351.42, 774,655.92 and 306,697.14 is: 423,237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,351.42 : 774,655.92 = 306,697.14 : x
  2. Step 2: Convert to fraction form
    561,351.42/774,655.92 = 306,697.14/x
  3. Step 3: Cross multiply
    561,351.42x = 774,655.92 × 306,697.14
  4. Step 4: Simplify right side
    561,351.42x = 237,584,755,148.07
  5. Step 5: Solve for x
    x = 237,584,755,148.07/561,351.42
  6. Step 6: Final answer
    x = 423,237.11

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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.