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Finding the Fourth Proportional to 372,504.64, 514,056.40 and 202,740

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Solution

The fourth proportional to 372,504.64, 514,056.40 and 202,740 is: 279,781.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,504.64 : 514,056.40 = 202,740 : x
  2. Step 2: Convert to fraction form
    372,504.64/514,056.40 = 202,740/x
  3. Step 3: Cross multiply
    372,504.64x = 514,056.40 × 202,740
  4. Step 4: Simplify right side
    372,504.64x = 104,219,794,536
  5. Step 5: Solve for x
    x = 104,219,794,536/372,504.64
  6. Step 6: Final answer
    x = 279,781.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.