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Finding the Fourth Proportional to 212,817.78, 293,478.12 and 180,640.26

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Solution

The fourth proportional to 212,817.78, 293,478.12 and 180,640.26 is: 249,104.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,817.78 : 293,478.12 = 180,640.26 : x
  2. Step 2: Convert to fraction form
    212,817.78/293,478.12 = 180,640.26/x
  3. Step 3: Cross multiply
    212,817.78x = 293,478.12 × 180,640.26
  4. Step 4: Simplify right side
    212,817.78x = 53,013,963,901.11
  5. Step 5: Solve for x
    x = 53,013,963,901.11/212,817.78
  6. Step 6: Final answer
    x = 249,104.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.