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Finding the Fourth Proportional to 259,582, 358,223.16 and 140,350

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Solution

The fourth proportional to 259,582, 358,223.16 and 140,350 is: 193,683

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,582 : 358,223.16 = 140,350 : x
  2. Step 2: Convert to fraction form
    259,582/358,223.16 = 140,350/x
  3. Step 3: Cross multiply
    259,582x = 358,223.16 × 140,350
  4. Step 4: Simplify right side
    259,582x = 50,276,620,506
  5. Step 5: Solve for x
    x = 50,276,620,506/259,582
  6. Step 6: Final answer
    x = 193,683

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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.