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Finding the Fourth Proportional to 622,364.60, 931,214.10 and 412,412.60

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Solution

The fourth proportional to 622,364.60, 931,214.10 and 412,412.60 is: 617,073.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,364.60 : 931,214.10 = 412,412.60 : x
  2. Step 2: Convert to fraction form
    622,364.60/931,214.10 = 412,412.60/x
  3. Step 3: Cross multiply
    622,364.60x = 931,214.10 × 412,412.60
  4. Step 4: Simplify right side
    622,364.60x = 384,044,428,137.66
  5. Step 5: Solve for x
    x = 384,044,428,137.66/622,364.60
  6. Step 6: Final answer
    x = 617,073.06

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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.