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Finding the Fourth Proportional to 691,638, 955,247.76 and 464,889.84

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Solution

The fourth proportional to 691,638, 955,247.76 and 464,889.84 is: 642,077.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,638 : 955,247.76 = 464,889.84 : x
  2. Step 2: Convert to fraction form
    691,638/955,247.76 = 464,889.84/x
  3. Step 3: Cross multiply
    691,638x = 955,247.76 × 464,889.84
  4. Step 4: Simplify right side
    691,638x = 444,084,978,306.76
  5. Step 5: Solve for x
    x = 444,084,978,306.76/691,638
  6. Step 6: Final answer
    x = 642,077.18

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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.