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Finding the Fourth Proportional to 297,897.76, 410,765.22 and 279,002.08

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Solution

The fourth proportional to 297,897.76, 410,765.22 and 279,002.08 is: 384,710.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,897.76 : 410,765.22 = 279,002.08 : x
  2. Step 2: Convert to fraction form
    297,897.76/410,765.22 = 279,002.08/x
  3. Step 3: Cross multiply
    297,897.76x = 410,765.22 × 279,002.08
  4. Step 4: Simplify right side
    297,897.76x = 114,604,350,771.66
  5. Step 5: Solve for x
    x = 114,604,350,771.66/297,897.76
  6. Step 6: Final answer
    x = 384,710.35

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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.