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Finding the Fourth Proportional to 438,978.64, 657,939.32 and 201,996.88

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Solution

The fourth proportional to 438,978.64, 657,939.32 and 201,996.88 is: 302,752.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,978.64 : 657,939.32 = 201,996.88 : x
  2. Step 2: Convert to fraction form
    438,978.64/657,939.32 = 201,996.88/x
  3. Step 3: Cross multiply
    438,978.64x = 657,939.32 × 201,996.88
  4. Step 4: Simplify right side
    438,978.64x = 132,901,689,869.32
  5. Step 5: Solve for x
    x = 132,901,689,869.32/438,978.64
  6. Step 6: Final answer
    x = 302,752.07

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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.