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Finding the Fourth Proportional to 273,265.80, 407,151.17 and 257,986.90

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Solution

The fourth proportional to 273,265.80, 407,151.17 and 257,986.90 is: 384,386.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,265.80 : 407,151.17 = 257,986.90 : x
  2. Step 2: Convert to fraction form
    273,265.80/407,151.17 = 257,986.90/x
  3. Step 3: Cross multiply
    273,265.80x = 407,151.17 × 257,986.90
  4. Step 4: Simplify right side
    273,265.80x = 105,039,668,179.67
  5. Step 5: Solve for x
    x = 105,039,668,179.67/273,265.80
  6. Step 6: Final answer
    x = 384,386.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.