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Finding the Fourth Proportional to 275,539.72, 413,352.78 and 117,769

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Solution

The fourth proportional to 275,539.72, 413,352.78 and 117,769 is: 176,671.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,539.72 : 413,352.78 = 117,769 : x
  2. Step 2: Convert to fraction form
    275,539.72/413,352.78 = 117,769/x
  3. Step 3: Cross multiply
    275,539.72x = 413,352.78 × 117,769
  4. Step 4: Simplify right side
    275,539.72x = 48,680,143,547.82
  5. Step 5: Solve for x
    x = 48,680,143,547.82/275,539.72
  6. Step 6: Final answer
    x = 176,671.96

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1.5x scale

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.