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Finding the Fourth Proportional to 259,669, 358,343.32 and 140,437

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Solution

The fourth proportional to 259,669, 358,343.32 and 140,437 is: 193,803.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,669 : 358,343.32 = 140,437 : x
  2. Step 2: Convert to fraction form
    259,669/358,343.32 = 140,437/x
  3. Step 3: Cross multiply
    259,669x = 358,343.32 × 140,437
  4. Step 4: Simplify right side
    259,669x = 50,324,660,830.84
  5. Step 5: Solve for x
    x = 50,324,660,830.84/259,669
  6. Step 6: Final answer
    x = 193,803.11

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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.