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Finding the Fourth Proportional to 538,280.10, 807,439.14 and 285,218.64

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Solution

The fourth proportional to 538,280.10, 807,439.14 and 285,218.64 is: 427,838.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,280.10 : 807,439.14 = 285,218.64 : x
  2. Step 2: Convert to fraction form
    538,280.10/807,439.14 = 285,218.64/x
  3. Step 3: Cross multiply
    538,280.10x = 807,439.14 × 285,218.64
  4. Step 4: Simplify right side
    538,280.10x = 230,296,693,393.57
  5. Step 5: Solve for x
    x = 230,296,693,393.57/538,280.10
  6. Step 6: Final answer
    x = 427,838.02

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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.