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Finding the Fourth Proportional to 384,697.40, 577,046.10 and 379,448.60

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Solution

The fourth proportional to 384,697.40, 577,046.10 and 379,448.60 is: 569,172.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,697.40 : 577,046.10 = 379,448.60 : x
  2. Step 2: Convert to fraction form
    384,697.40/577,046.10 = 379,448.60/x
  3. Step 3: Cross multiply
    384,697.40x = 577,046.10 × 379,448.60
  4. Step 4: Simplify right side
    384,697.40x = 218,959,334,780.46
  5. Step 5: Solve for x
    x = 218,959,334,780.46/384,697.40
  6. Step 6: Final answer
    x = 569,172.90

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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.