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Finding the Fourth Proportional to 257,328.87, 355,063.13 and 161,780.05

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Solution

The fourth proportional to 257,328.87, 355,063.13 and 161,780.05 is: 223,224.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,328.87 : 355,063.13 = 161,780.05 : x
  2. Step 2: Convert to fraction form
    257,328.87/355,063.13 = 161,780.05/x
  3. Step 3: Cross multiply
    257,328.87x = 355,063.13 × 161,780.05
  4. Step 4: Simplify right side
    257,328.87x = 57,442,131,166.16
  5. Step 5: Solve for x
    x = 57,442,131,166.16/257,328.87
  6. Step 6: Final answer
    x = 223,224.59

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1.5x scale

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.