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Finding the Fourth Proportional to 471,818.40, 706,690.80 and 419,287.20

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Solution

The fourth proportional to 471,818.40, 706,690.80 and 419,287.20 is: 628,009.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,818.40 : 706,690.80 = 419,287.20 : x
  2. Step 2: Convert to fraction form
    471,818.40/706,690.80 = 419,287.20/x
  3. Step 3: Cross multiply
    471,818.40x = 706,690.80 × 419,287.20
  4. Step 4: Simplify right side
    471,818.40x = 296,306,406,797.76
  5. Step 5: Solve for x
    x = 296,306,406,797.76/471,818.40
  6. Step 6: Final answer
    x = 628,009.43

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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.