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Finding the Fourth Proportional to 475,970.12, 656,855.82 and 261,116.50

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Solution

The fourth proportional to 475,970.12, 656,855.82 and 261,116.50 is: 360,350.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,970.12 : 656,855.82 = 261,116.50 : x
  2. Step 2: Convert to fraction form
    475,970.12/656,855.82 = 261,116.50/x
  3. Step 3: Cross multiply
    475,970.12x = 656,855.82 × 261,116.50
  4. Step 4: Simplify right side
    475,970.12x = 171,515,894,894.29
  5. Step 5: Solve for x
    x = 171,515,894,894.29/475,970.12
  6. Step 6: Final answer
    x = 360,350.13

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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.