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Finding the Fourth Proportional to 556,796.16, 768,380.85 and 302,147.42

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Solution

The fourth proportional to 556,796.16, 768,380.85 and 302,147.42 is: 416,964.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,796.16 : 768,380.85 = 302,147.42 : x
  2. Step 2: Convert to fraction form
    556,796.16/768,380.85 = 302,147.42/x
  3. Step 3: Cross multiply
    556,796.16x = 768,380.85 × 302,147.42
  4. Step 4: Simplify right side
    556,796.16x = 232,164,287,563.00
  5. Step 5: Solve for x
    x = 232,164,287,563.00/556,796.16
  6. Step 6: Final answer
    x = 416,964.60

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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.