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Finding the Fourth Proportional to 259,424, 388,632.48 and 170,407.40

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Solution

The fourth proportional to 259,424, 388,632.48 and 170,407.40 is: 255,280.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,424 : 388,632.48 = 170,407.40 : x
  2. Step 2: Convert to fraction form
    259,424/388,632.48 = 170,407.40/x
  3. Step 3: Cross multiply
    259,424x = 388,632.48 × 170,407.40
  4. Step 4: Simplify right side
    259,424x = 66,225,850,472.35
  5. Step 5: Solve for x
    x = 66,225,850,472.35/259,424
  6. Step 6: Final answer
    x = 255,280.35

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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.