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Finding the Fourth Proportional to 311,952.78, 430,547.80 and 176,025.26

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Solution

The fourth proportional to 311,952.78, 430,547.80 and 176,025.26 is: 242,944.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,952.78 : 430,547.80 = 176,025.26 : x
  2. Step 2: Convert to fraction form
    311,952.78/430,547.80 = 176,025.26/x
  3. Step 3: Cross multiply
    311,952.78x = 430,547.80 × 176,025.26
  4. Step 4: Simplify right side
    311,952.78x = 75,787,288,437.43
  5. Step 5: Solve for x
    x = 75,787,288,437.43/311,952.78
  6. Step 6: Final answer
    x = 242,944.74

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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.