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Finding the Fourth Proportional to 579,759.36, 869,600.16 and 159,000

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Solution

The fourth proportional to 579,759.36, 869,600.16 and 159,000 is: 238,489.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,759.36 : 869,600.16 = 159,000 : x
  2. Step 2: Convert to fraction form
    579,759.36/869,600.16 = 159,000/x
  3. Step 3: Cross multiply
    579,759.36x = 869,600.16 × 159,000
  4. Step 4: Simplify right side
    579,759.36x = 138,266,425,440
  5. Step 5: Solve for x
    x = 138,266,425,440/579,759.36
  6. Step 6: Final answer
    x = 238,489.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.