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Finding the Fourth Proportional to 559,039.14, 838,548.59 and 138,314.88

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Solution

The fourth proportional to 559,039.14, 838,548.59 and 138,314.88 is: 207,469.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,039.14 : 838,548.59 = 138,314.88 : x
  2. Step 2: Convert to fraction form
    559,039.14/838,548.59 = 138,314.88/x
  3. Step 3: Cross multiply
    559,039.14x = 838,548.59 × 138,314.88
  4. Step 4: Simplify right side
    559,039.14x = 115,983,746,908.45
  5. Step 5: Solve for x
    x = 115,983,746,908.45/559,039.14
  6. Step 6: Final answer
    x = 207,469.81

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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.