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Finding the Fourth Proportional to 278,820, 417,994.83 and 120,929.52

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Solution

The fourth proportional to 278,820, 417,994.83 and 120,929.52 is: 181,292.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,820 : 417,994.83 = 120,929.52 : x
  2. Step 2: Convert to fraction form
    278,820/417,994.83 = 120,929.52/x
  3. Step 3: Cross multiply
    278,820x = 417,994.83 × 120,929.52
  4. Step 4: Simplify right side
    278,820x = 50,547,914,154.38
  5. Step 5: Solve for x
    x = 50,547,914,154.38/278,820
  6. Step 6: Final answer
    x = 181,292.28

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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.