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Finding the Fourth Proportional to 314,489.40, 471,215.70 and 261,612.60

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Solution

The fourth proportional to 314,489.40, 471,215.70 and 261,612.60 is: 391,987.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,489.40 : 471,215.70 = 261,612.60 : x
  2. Step 2: Convert to fraction form
    314,489.40/471,215.70 = 261,612.60/x
  3. Step 3: Cross multiply
    314,489.40x = 471,215.70 × 261,612.60
  4. Step 4: Simplify right side
    314,489.40x = 123,275,964,437.82
  5. Step 5: Solve for x
    x = 123,275,964,437.82/314,489.40
  6. Step 6: Final answer
    x = 391,987.66

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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.