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Finding the Fourth Proportional to 318,726.42, 477,937.14 and 185,644.63

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Solution

The fourth proportional to 318,726.42, 477,937.14 and 185,644.63 is: 278,378.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,726.42 : 477,937.14 = 185,644.63 : x
  2. Step 2: Convert to fraction form
    318,726.42/477,937.14 = 185,644.63/x
  3. Step 3: Cross multiply
    318,726.42x = 477,937.14 × 185,644.63
  4. Step 4: Simplify right side
    318,726.42x = 88,726,463,518.56
  5. Step 5: Solve for x
    x = 88,726,463,518.56/318,726.42
  6. Step 6: Final answer
    x = 278,378.13

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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.