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Finding the Fourth Proportional to 516,922.48, 776,269.44 and 280,726.48

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Solution

The fourth proportional to 516,922.48, 776,269.44 and 280,726.48 is: 421,570.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,922.48 : 776,269.44 = 280,726.48 : x
  2. Step 2: Convert to fraction form
    516,922.48/776,269.44 = 280,726.48/x
  3. Step 3: Cross multiply
    516,922.48x = 776,269.44 × 280,726.48
  4. Step 4: Simplify right side
    516,922.48x = 217,919,387,422.77
  5. Step 5: Solve for x
    x = 217,919,387,422.77/516,922.48
  6. Step 6: Final answer
    x = 421,570.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.