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Finding the Fourth Proportional to 423,722.46, 635,584.74 and 103,875.74

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Solution

The fourth proportional to 423,722.46, 635,584.74 and 103,875.74 is: 155,813.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,722.46 : 635,584.74 = 103,875.74 : x
  2. Step 2: Convert to fraction form
    423,722.46/635,584.74 = 103,875.74/x
  3. Step 3: Cross multiply
    423,722.46x = 635,584.74 × 103,875.74
  4. Step 4: Simplify right side
    423,722.46x = 66,021,835,200.21
  5. Step 5: Solve for x
    x = 66,021,835,200.21/423,722.46
  6. Step 6: Final answer
    x = 155,813.87

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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.