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Finding the Fourth Proportional to 561,708.64, 775,174.80 and 307,073.44

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Solution

The fourth proportional to 561,708.64, 775,174.80 and 307,073.44 is: 423,770.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,708.64 : 775,174.80 = 307,073.44 : x
  2. Step 2: Convert to fraction form
    561,708.64/775,174.80 = 307,073.44/x
  3. Step 3: Cross multiply
    561,708.64x = 775,174.80 × 307,073.44
  4. Step 4: Simplify right side
    561,708.64x = 238,035,592,437.31
  5. Step 5: Solve for x
    x = 238,035,592,437.31/561,708.64
  6. Step 6: Final answer
    x = 423,770.57

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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.