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Finding the Fourth Proportional to 511,912.42, 767,980.68 and 156,954.13

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Solution

The fourth proportional to 511,912.42, 767,980.68 and 156,954.13 is: 235,465.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,912.42 : 767,980.68 = 156,954.13 : x
  2. Step 2: Convert to fraction form
    511,912.42/767,980.68 = 156,954.13/x
  3. Step 3: Cross multiply
    511,912.42x = 767,980.68 × 156,954.13
  4. Step 4: Simplify right side
    511,912.42x = 120,537,739,486.21
  5. Step 5: Solve for x
    x = 120,537,739,486.21/511,912.42
  6. Step 6: Final answer
    x = 235,465.55

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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.