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Finding the Fourth Proportional to 475,415.90, 656,072.66 and 257,630.61

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Solution

The fourth proportional to 475,415.90, 656,072.66 and 257,630.61 is: 355,529.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,415.90 : 656,072.66 = 257,630.61 : x
  2. Step 2: Convert to fraction form
    475,415.90/656,072.66 = 257,630.61/x
  3. Step 3: Cross multiply
    475,415.90x = 656,072.66 × 257,630.61
  4. Step 4: Simplify right side
    475,415.90x = 169,024,402,704.47
  5. Step 5: Solve for x
    x = 169,024,402,704.47/475,415.90
  6. Step 6: Final answer
    x = 355,529.55

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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.