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Finding the Fourth Proportional to 423,084.74, 634,618.91 and 103,238.69

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Solution

The fourth proportional to 423,084.74, 634,618.91 and 103,238.69 is: 154,856.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,084.74 : 634,618.91 = 103,238.69 : x
  2. Step 2: Convert to fraction form
    423,084.74/634,618.91 = 103,238.69/x
  3. Step 3: Cross multiply
    423,084.74x = 634,618.91 × 103,238.69
  4. Step 4: Simplify right side
    423,084.74x = 65,517,224,917.63
  5. Step 5: Solve for x
    x = 65,517,224,917.63/423,084.74
  6. Step 6: Final answer
    x = 154,856.03

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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.