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Finding the Fourth Proportional to 474,605.12, 711,907.56 and 142,181.12

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Solution

The fourth proportional to 474,605.12, 711,907.56 and 142,181.12 is: 213,271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,605.12 : 711,907.56 = 142,181.12 : x
  2. Step 2: Convert to fraction form
    474,605.12/711,907.56 = 142,181.12/x
  3. Step 3: Cross multiply
    474,605.12x = 711,907.56 × 142,181.12
  4. Step 4: Simplify right side
    474,605.12x = 101,219,814,217.27
  5. Step 5: Solve for x
    x = 101,219,814,217.27/474,605.12
  6. Step 6: Final answer
    x = 213,271.64

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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.