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Finding the Fourth Proportional to 708,736.30, 978,020.13 and 386,443.78

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Solution

The fourth proportional to 708,736.30, 978,020.13 and 386,443.78 is: 533,272.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,736.30 : 978,020.13 = 386,443.78 : x
  2. Step 2: Convert to fraction form
    708,736.30/978,020.13 = 386,443.78/x
  3. Step 3: Cross multiply
    708,736.30x = 978,020.13 × 386,443.78
  4. Step 4: Simplify right side
    708,736.30x = 377,949,795,953.29
  5. Step 5: Solve for x
    x = 377,949,795,953.29/708,736.30
  6. Step 6: Final answer
    x = 533,272.81

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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.