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Finding the Fourth Proportional to 472,489.20, 652,011.12 and 257,627.52

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Solution

The fourth proportional to 472,489.20, 652,011.12 and 257,627.52 is: 355,512.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,489.20 : 652,011.12 = 257,627.52 : x
  2. Step 2: Convert to fraction form
    472,489.20/652,011.12 = 257,627.52/x
  3. Step 3: Cross multiply
    472,489.20x = 652,011.12 × 257,627.52
  4. Step 4: Simplify right side
    472,489.20x = 167,976,007,858.02
  5. Step 5: Solve for x
    x = 167,976,007,858.02/472,489.20
  6. Step 6: Final answer
    x = 355,512.90

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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.