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Finding the Fourth Proportional to 480,120, 662,565.60 and 268,152

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Solution

The fourth proportional to 480,120, 662,565.60 and 268,152 is: 370,049.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,120 : 662,565.60 = 268,152 : x
  2. Step 2: Convert to fraction form
    480,120/662,565.60 = 268,152/x
  3. Step 3: Cross multiply
    480,120x = 662,565.60 × 268,152
  4. Step 4: Simplify right side
    480,120x = 177,668,290,771.20
  5. Step 5: Solve for x
    x = 177,668,290,771.20/480,120
  6. Step 6: Final answer
    x = 370,049.76

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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.