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Finding the Fourth Proportional to 400,651.52, 553,273.68 and 257,659.84

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Solution

The fourth proportional to 400,651.52, 553,273.68 and 257,659.84 is: 355,811.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,651.52 : 553,273.68 = 257,659.84 : x
  2. Step 2: Convert to fraction form
    400,651.52/553,273.68 = 257,659.84/x
  3. Step 3: Cross multiply
    400,651.52x = 553,273.68 × 257,659.84
  4. Step 4: Simplify right side
    400,651.52x = 142,556,407,865.01
  5. Step 5: Solve for x
    x = 142,556,407,865.01/400,651.52
  6. Step 6: Final answer
    x = 355,811.47

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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.