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Finding the Fourth Proportional to 259,597.34, 389,437.16 and 109,838.74

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Solution

The fourth proportional to 259,597.34, 389,437.16 and 109,838.74 is: 164,775.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,597.34 : 389,437.16 = 109,838.74 : x
  2. Step 2: Convert to fraction form
    259,597.34/389,437.16 = 109,838.74/x
  3. Step 3: Cross multiply
    259,597.34x = 389,437.16 × 109,838.74
  4. Step 4: Simplify right side
    259,597.34x = 42,775,286,963.58
  5. Step 5: Solve for x
    x = 42,775,286,963.58/259,597.34
  6. Step 6: Final answer
    x = 164,775.52

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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.