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Finding the Fourth Proportional to 556,928.97, 768,498.13 and 311,879.57

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Solution

The fourth proportional to 556,928.97, 768,498.13 and 311,879.57 is: 430,358.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,928.97 : 768,498.13 = 311,879.57 : x
  2. Step 2: Convert to fraction form
    556,928.97/768,498.13 = 311,879.57/x
  3. Step 3: Cross multiply
    556,928.97x = 768,498.13 × 311,879.57
  4. Step 4: Simplify right side
    556,928.97x = 239,678,862,877.56
  5. Step 5: Solve for x
    x = 239,678,862,877.56/556,928.97
  6. Step 6: Final answer
    x = 430,358.05

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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.