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Finding the Fourth Proportional to 778,448, 1,074,258.36 and 420,752

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Solution

The fourth proportional to 778,448, 1,074,258.36 and 420,752 is: 580,637.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,448 : 1,074,258.36 = 420,752 : x
  2. Step 2: Convert to fraction form
    778,448/1,074,258.36 = 420,752/x
  3. Step 3: Cross multiply
    778,448x = 1,074,258.36 × 420,752
  4. Step 4: Simplify right side
    778,448x = 451,996,353,486.72
  5. Step 5: Solve for x
    x = 451,996,353,486.72/778,448
  6. Step 6: Final answer
    x = 580,637.82

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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.