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Finding the Fourth Proportional to 678,348, 936,120.24 and 376,570.08

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Solution

The fourth proportional to 678,348, 936,120.24 and 376,570.08 is: 519,666.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,348 : 936,120.24 = 376,570.08 : x
  2. Step 2: Convert to fraction form
    678,348/936,120.24 = 376,570.08/x
  3. Step 3: Cross multiply
    678,348x = 936,120.24 × 376,570.08
  4. Step 4: Simplify right side
    678,348x = 352,514,873,666.42
  5. Step 5: Solve for x
    x = 352,514,873,666.42/678,348
  6. Step 6: Final answer
    x = 519,666.71

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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.