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Finding the Fourth Proportional to 511,458.90, 767,188.35 and 312,168.53

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Solution

The fourth proportional to 511,458.90, 767,188.35 and 312,168.53 is: 468,252.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,458.90 : 767,188.35 = 312,168.53 : x
  2. Step 2: Convert to fraction form
    511,458.90/767,188.35 = 312,168.53/x
  3. Step 3: Cross multiply
    511,458.90x = 767,188.35 × 312,168.53
  4. Step 4: Simplify right side
    511,458.90x = 239,492,055,616.68
  5. Step 5: Solve for x
    x = 239,492,055,616.68/511,458.90
  6. Step 6: Final answer
    x = 468,252.79

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Similar ratio
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1.5x scale

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.