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Finding the Fourth Proportional to 315,807.52, 474,048.48 and 135,982

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Solution

The fourth proportional to 315,807.52, 474,048.48 and 135,982 is: 204,118.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,807.52 : 474,048.48 = 135,982 : x
  2. Step 2: Convert to fraction form
    315,807.52/474,048.48 = 135,982/x
  3. Step 3: Cross multiply
    315,807.52x = 474,048.48 × 135,982
  4. Step 4: Simplify right side
    315,807.52x = 64,462,060,407.36
  5. Step 5: Solve for x
    x = 64,462,060,407.36/315,807.52
  6. Step 6: Final answer
    x = 204,118.19

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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.