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Finding the Fourth Proportional to 382,875.90, 574,313.88 and 102,385.86

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Solution

The fourth proportional to 382,875.90, 574,313.88 and 102,385.86 is: 153,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,875.90 : 574,313.88 = 102,385.86 : x
  2. Step 2: Convert to fraction form
    382,875.90/574,313.88 = 102,385.86/x
  3. Step 3: Cross multiply
    382,875.90x = 574,313.88 × 102,385.86
  4. Step 4: Simplify right side
    382,875.90x = 58,801,620,513.74
  5. Step 5: Solve for x
    x = 58,801,620,513.74/382,875.90
  6. Step 6: Final answer
    x = 153,578.80

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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.