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Finding the Fourth Proportional to 471,426.44, 707,135.88 and 312,215

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Solution

The fourth proportional to 471,426.44, 707,135.88 and 312,215 is: 468,320.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,426.44 : 707,135.88 = 312,215 : x
  2. Step 2: Convert to fraction form
    471,426.44/707,135.88 = 312,215/x
  3. Step 3: Cross multiply
    471,426.44x = 707,135.88 × 312,215
  4. Step 4: Simplify right side
    471,426.44x = 220,778,428,774.20
  5. Step 5: Solve for x
    x = 220,778,428,774.20/471,426.44
  6. Step 6: Final answer
    x = 468,320.00

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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.