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Finding the Fourth Proportional to 258,460.74, 388,133.97 and 140,362.74

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Solution

The fourth proportional to 258,460.74, 388,133.97 and 140,362.74 is: 210,784.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,460.74 : 388,133.97 = 140,362.74 : x
  2. Step 2: Convert to fraction form
    258,460.74/388,133.97 = 140,362.74/x
  3. Step 3: Cross multiply
    258,460.74x = 388,133.97 × 140,362.74
  4. Step 4: Simplify right side
    258,460.74x = 54,479,547,516.28
  5. Step 5: Solve for x
    x = 54,479,547,516.28/258,460.74
  6. Step 6: Final answer
    x = 210,784.61

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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.