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Finding the Fourth Proportional to 472,392,685.80, 708,589,028.70 and 278,204,144.40

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Solution

The fourth proportional to 472,392,685.80, 708,589,028.70 and 278,204,144.40 is: 417,306,216.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,685.80 : 708,589,028.70 = 278,204,144.40 : x
  2. Step 2: Convert to fraction form
    472,392,685.80/708,589,028.70 = 278,204,144.40/x
  3. Step 3: Cross multiply
    472,392,685.80x = 708,589,028.70 × 278,204,144.40
  4. Step 4: Simplify right side
    472,392,685.80x = 197,132,404,460,710,528
  5. Step 5: Solve for x
    x = 197,132,404,460,710,528/472,392,685.80
  6. Step 6: Final answer
    x = 417,306,216.60

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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.