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Finding the Fourth Proportional to 257,396.52, 355,206.96 and 144,220.08

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Solution

The fourth proportional to 257,396.52, 355,206.96 and 144,220.08 is: 199,023.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,396.52 : 355,206.96 = 144,220.08 : x
  2. Step 2: Convert to fraction form
    257,396.52/355,206.96 = 144,220.08/x
  3. Step 3: Cross multiply
    257,396.52x = 355,206.96 × 144,220.08
  4. Step 4: Simplify right side
    257,396.52x = 51,227,976,187.76
  5. Step 5: Solve for x
    x = 51,227,976,187.76/257,396.52
  6. Step 6: Final answer
    x = 199,023.58

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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.