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Finding the Fourth Proportional to 341,337.90, 512,428.05 and 214,977.90

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Solution

The fourth proportional to 341,337.90, 512,428.05 and 214,977.90 is: 322,732.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,337.90 : 512,428.05 = 214,977.90 : x
  2. Step 2: Convert to fraction form
    341,337.90/512,428.05 = 214,977.90/x
  3. Step 3: Cross multiply
    341,337.90x = 512,428.05 × 214,977.90
  4. Step 4: Simplify right side
    341,337.90x = 110,160,706,090.10
  5. Step 5: Solve for x
    x = 110,160,706,090.10/341,337.90
  6. Step 6: Final answer
    x = 322,732.13

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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.