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Finding the Fourth Proportional to 778,249, 1,073,983.62 and 420,553

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Solution

The fourth proportional to 778,249, 1,073,983.62 and 420,553 is: 580,363.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,249 : 1,073,983.62 = 420,553 : x
  2. Step 2: Convert to fraction form
    778,249/1,073,983.62 = 420,553/x
  3. Step 3: Cross multiply
    778,249x = 1,073,983.62 × 420,553
  4. Step 4: Simplify right side
    778,249x = 451,667,033,341.86
  5. Step 5: Solve for x
    x = 451,667,033,341.86/778,249
  6. Step 6: Final answer
    x = 580,363.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.