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Finding the Fourth Proportional to 219,318.30, 328,977.45 and 202,038.30

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Solution

The fourth proportional to 219,318.30, 328,977.45 and 202,038.30 is: 303,057.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,318.30 : 328,977.45 = 202,038.30 : x
  2. Step 2: Convert to fraction form
    219,318.30/328,977.45 = 202,038.30/x
  3. Step 3: Cross multiply
    219,318.30x = 328,977.45 × 202,038.30
  4. Step 4: Simplify right side
    219,318.30x = 66,466,044,736.34
  5. Step 5: Solve for x
    x = 66,466,044,736.34/219,318.30
  6. Step 6: Final answer
    x = 303,057.45

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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.