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Finding the Fourth Proportional to 219,105.76, 328,774.36 and 155,475.07

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Solution

The fourth proportional to 219,105.76, 328,774.36 and 155,475.07 is: 233,294.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,105.76 : 328,774.36 = 155,475.07 : x
  2. Step 2: Convert to fraction form
    219,105.76/328,774.36 = 155,475.07/x
  3. Step 3: Cross multiply
    219,105.76x = 328,774.36 × 155,475.07
  4. Step 4: Simplify right side
    219,105.76x = 51,116,214,213.96
  5. Step 5: Solve for x
    x = 51,116,214,213.96/219,105.76
  6. Step 6: Final answer
    x = 233,294.71

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1.5x scale

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.