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Finding the Fourth Proportional to 311,038.86, 465,810.78 and 177,514.29

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Solution

The fourth proportional to 311,038.86, 465,810.78 and 177,514.29 is: 265,844.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,038.86 : 465,810.78 = 177,514.29 : x
  2. Step 2: Convert to fraction form
    311,038.86/465,810.78 = 177,514.29/x
  3. Step 3: Cross multiply
    311,038.86x = 465,810.78 × 177,514.29
  4. Step 4: Simplify right side
    311,038.86x = 82,688,069,886.05
  5. Step 5: Solve for x
    x = 82,688,069,886.05/311,038.86
  6. Step 6: Final answer
    x = 265,844.82

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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.