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Finding the Fourth Proportional to 616,841.64, 850,980.78 and 412,958.16

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Solution

The fourth proportional to 616,841.64, 850,980.78 and 412,958.16 is: 569,707.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,841.64 : 850,980.78 = 412,958.16 : x
  2. Step 2: Convert to fraction form
    616,841.64/850,980.78 = 412,958.16/x
  3. Step 3: Cross multiply
    616,841.64x = 850,980.78 × 412,958.16
  4. Step 4: Simplify right side
    616,841.64x = 351,419,457,104.17
  5. Step 5: Solve for x
    x = 351,419,457,104.17/616,841.64
  6. Step 6: Final answer
    x = 569,707.74

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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.