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Finding the Fourth Proportional to 613,884.40, 847,291.10 and 412,563.76

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Solution

The fourth proportional to 613,884.40, 847,291.10 and 412,563.76 is: 569,425.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,884.40 : 847,291.10 = 412,563.76 : x
  2. Step 2: Convert to fraction form
    613,884.40/847,291.10 = 412,563.76/x
  3. Step 3: Cross multiply
    613,884.40x = 847,291.10 × 412,563.76
  4. Step 4: Simplify right side
    613,884.40x = 349,561,602,030.54
  5. Step 5: Solve for x
    x = 349,561,602,030.54/613,884.40
  6. Step 6: Final answer
    x = 569,425.78

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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.