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Finding the Fourth Proportional to 647,186.84, 970,568.96 and 214,788.16

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Solution

The fourth proportional to 647,186.84, 970,568.96 and 214,788.16 is: 322,112.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,186.84 : 970,568.96 = 214,788.16 : x
  2. Step 2: Convert to fraction form
    647,186.84/970,568.96 = 214,788.16/x
  3. Step 3: Cross multiply
    647,186.84x = 970,568.96 × 214,788.16
  4. Step 4: Simplify right side
    647,186.84x = 208,466,721,071.51
  5. Step 5: Solve for x
    x = 208,466,721,071.51/647,186.84
  6. Step 6: Final answer
    x = 322,112.11

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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.