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Finding the Fourth Proportional to 778,758, 1,168,263.36 and 305,186.64

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Solution

The fourth proportional to 778,758, 1,168,263.36 and 305,186.64 is: 457,829.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,758 : 1,168,263.36 = 305,186.64 : x
  2. Step 2: Convert to fraction form
    778,758/1,168,263.36 = 305,186.64/x
  3. Step 3: Cross multiply
    778,758x = 1,168,263.36 × 305,186.64
  4. Step 4: Simplify right side
    778,758x = 356,538,369,473.51
  5. Step 5: Solve for x
    x = 356,538,369,473.51/778,758
  6. Step 6: Final answer
    x = 457,829.48

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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.