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Finding the Fourth Proportional to 416,116.80, 624,328.80 and 135,643.20

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Solution

The fourth proportional to 416,116.80, 624,328.80 and 135,643.20 is: 203,514.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,116.80 : 624,328.80 = 135,643.20 : x
  2. Step 2: Convert to fraction form
    416,116.80/624,328.80 = 135,643.20/x
  3. Step 3: Cross multiply
    416,116.80x = 624,328.80 × 135,643.20
  4. Step 4: Simplify right side
    416,116.80x = 84,685,956,284.16
  5. Step 5: Solve for x
    x = 84,685,956,284.16/416,116.80
  6. Step 6: Final answer
    x = 203,514.87

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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.