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Finding the Fourth Proportional to 275,585.38, 380,312.49 and 153,074.50

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Solution

The fourth proportional to 275,585.38, 380,312.49 and 153,074.50 is: 211,245.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,585.38 : 380,312.49 = 153,074.50 : x
  2. Step 2: Convert to fraction form
    275,585.38/380,312.49 = 153,074.50/x
  3. Step 3: Cross multiply
    275,585.38x = 380,312.49 × 153,074.50
  4. Step 4: Simplify right side
    275,585.38x = 58,216,144,250.51
  5. Step 5: Solve for x
    x = 58,216,144,250.51/275,585.38
  6. Step 6: Final answer
    x = 211,245.40

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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.