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Finding the Fourth Proportional to 427,794.90, 642,323.16 and 238,624.86

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Solution

The fourth proportional to 427,794.90, 642,323.16 and 238,624.86 is: 358,289.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,794.90 : 642,323.16 = 238,624.86 : x
  2. Step 2: Convert to fraction form
    427,794.90/642,323.16 = 238,624.86/x
  3. Step 3: Cross multiply
    427,794.90x = 642,323.16 × 238,624.86
  4. Step 4: Simplify right side
    427,794.90x = 153,274,274,129.76
  5. Step 5: Solve for x
    x = 153,274,274,129.76/427,794.90
  6. Step 6: Final answer
    x = 358,289.16

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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.