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Finding the Fourth Proportional to 700,678.01, 966,935.64 and 378,388.10

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Solution

The fourth proportional to 700,678.01, 966,935.64 and 378,388.10 is: 522,175.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,678.01 : 966,935.64 = 378,388.10 : x
  2. Step 2: Convert to fraction form
    700,678.01/966,935.64 = 378,388.10/x
  3. Step 3: Cross multiply
    700,678.01x = 966,935.64 × 378,388.10
  4. Step 4: Simplify right side
    700,678.01x = 365,876,935,753.18
  5. Step 5: Solve for x
    x = 365,876,935,753.18/700,678.01
  6. Step 6: Final answer
    x = 522,175.57

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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.