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Finding the Fourth Proportional to 438,316.30, 657,474.45 and 364,505.05

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Solution

The fourth proportional to 438,316.30, 657,474.45 and 364,505.05 is: 546,757.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,316.30 : 657,474.45 = 364,505.05 : x
  2. Step 2: Convert to fraction form
    438,316.30/657,474.45 = 364,505.05/x
  3. Step 3: Cross multiply
    438,316.30x = 657,474.45 × 364,505.05
  4. Step 4: Simplify right side
    438,316.30x = 239,652,757,270.97
  5. Step 5: Solve for x
    x = 239,652,757,270.97/438,316.30
  6. Step 6: Final answer
    x = 546,757.58

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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.