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Finding the Fourth Proportional to 847,162, 1,270,473.54 and 278,411.86

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Solution

The fourth proportional to 847,162, 1,270,473.54 and 278,411.86 is: 417,529.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,162 : 1,270,473.54 = 278,411.86 : x
  2. Step 2: Convert to fraction form
    847,162/1,270,473.54 = 278,411.86/x
  3. Step 3: Cross multiply
    847,162x = 1,270,473.54 × 278,411.86
  4. Step 4: Simplify right side
    847,162x = 353,714,901,352.18
  5. Step 5: Solve for x
    x = 353,714,901,352.18/847,162
  6. Step 6: Final answer
    x = 417,529.23

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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.