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Finding the Fourth Proportional to 559,382.40, 838,569.78 and 204,147.18

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Solution

The fourth proportional to 559,382.40, 838,569.78 and 204,147.18 is: 306,036.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,382.40 : 838,569.78 = 204,147.18 : x
  2. Step 2: Convert to fraction form
    559,382.40/838,569.78 = 204,147.18/x
  3. Step 3: Cross multiply
    559,382.40x = 838,569.78 × 204,147.18
  4. Step 4: Simplify right side
    559,382.40x = 171,191,655,820.22
  5. Step 5: Solve for x
    x = 171,191,655,820.22/559,382.40
  6. Step 6: Final answer
    x = 306,036.90

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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.