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Finding the Fourth Proportional to 391,616.98, 540,390.83 and 230,462.42

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Solution

The fourth proportional to 391,616.98, 540,390.83 and 230,462.42 is: 318,014.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,616.98 : 540,390.83 = 230,462.42 : x
  2. Step 2: Convert to fraction form
    391,616.98/540,390.83 = 230,462.42/x
  3. Step 3: Cross multiply
    391,616.98x = 540,390.83 × 230,462.42
  4. Step 4: Simplify right side
    391,616.98x = 124,539,774,573.34
  5. Step 5: Solve for x
    x = 124,539,774,573.34/391,616.98
  6. Step 6: Final answer
    x = 318,014.24

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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.