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Finding the Fourth Proportional to 472,053.70, 708,697.96 and 280,278.23

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Solution

The fourth proportional to 472,053.70, 708,697.96 and 280,278.23 is: 420,783.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,053.70 : 708,697.96 = 280,278.23 : x
  2. Step 2: Convert to fraction form
    472,053.70/708,697.96 = 280,278.23/x
  3. Step 3: Cross multiply
    472,053.70x = 708,697.96 × 280,278.23
  4. Step 4: Simplify right side
    472,053.70x = 198,632,610,073.95
  5. Step 5: Solve for x
    x = 198,632,610,073.95/472,053.70
  6. Step 6: Final answer
    x = 420,783.93

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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.