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Finding the Fourth Proportional to 382,810.64, 574,172.21 and 102,349.76

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Solution

The fourth proportional to 382,810.64, 574,172.21 and 102,349.76 is: 153,512.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,810.64 : 574,172.21 = 102,349.76 : x
  2. Step 2: Convert to fraction form
    382,810.64/574,172.21 = 102,349.76/x
  3. Step 3: Cross multiply
    382,810.64x = 574,172.21 × 102,349.76
  4. Step 4: Simplify right side
    382,810.64x = 58,766,387,892.17
  5. Step 5: Solve for x
    x = 58,766,387,892.17/382,810.64
  6. Step 6: Final answer
    x = 153,512.94

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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.