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Finding the Fourth Proportional to 257,454.75, 355,307.01 and 144,284.79

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Solution

The fourth proportional to 257,454.75, 355,307.01 and 144,284.79 is: 199,123.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,454.75 : 355,307.01 = 144,284.79 : x
  2. Step 2: Convert to fraction form
    257,454.75/355,307.01 = 144,284.79/x
  3. Step 3: Cross multiply
    257,454.75x = 355,307.01 × 144,284.79
  4. Step 4: Simplify right side
    257,454.75x = 51,265,397,323.38
  5. Step 5: Solve for x
    x = 51,265,397,323.38/257,454.75
  6. Step 6: Final answer
    x = 199,123.91

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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.