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Finding the Fourth Proportional to 421,653.24, 632,479.86 and 122,133.92

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Solution

The fourth proportional to 421,653.24, 632,479.86 and 122,133.92 is: 183,200.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,653.24 : 632,479.86 = 122,133.92 : x
  2. Step 2: Convert to fraction form
    421,653.24/632,479.86 = 122,133.92/x
  3. Step 3: Cross multiply
    421,653.24x = 632,479.86 × 122,133.92
  4. Step 4: Simplify right side
    421,653.24x = 77,247,241,460.45
  5. Step 5: Solve for x
    x = 77,247,241,460.45/421,653.24
  6. Step 6: Final answer
    x = 183,200.87

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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.