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Finding the Fourth Proportional to 613,878.39, 847,282.82 and 412,557.75

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Solution

The fourth proportional to 613,878.39, 847,282.82 and 412,557.75 is: 569,417.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,878.39 : 847,282.82 = 412,557.75 : x
  2. Step 2: Convert to fraction form
    613,878.39/847,282.82 = 412,557.75/x
  3. Step 3: Cross multiply
    613,878.39x = 847,282.82 × 412,557.75
  4. Step 4: Simplify right side
    613,878.39x = 349,553,091,770.07
  5. Step 5: Solve for x
    x = 349,553,091,770.07/613,878.39
  6. Step 6: Final answer
    x = 569,417.49

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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.