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Finding the Fourth Proportional to 778,980.16, 1,168,458.04 and 399,682

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Solution

The fourth proportional to 778,980.16, 1,168,458.04 and 399,682 is: 599,516.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,980.16 : 1,168,458.04 = 399,682 : x
  2. Step 2: Convert to fraction form
    778,980.16/1,168,458.04 = 399,682/x
  3. Step 3: Cross multiply
    778,980.16x = 1,168,458.04 × 399,682
  4. Step 4: Simplify right side
    778,980.16x = 467,011,646,343.28
  5. Step 5: Solve for x
    x = 467,011,646,343.28/778,980.16
  6. Step 6: Final answer
    x = 599,516.74

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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.