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Finding the Fourth Proportional to 438,203.05, 657,342.21 and 153,869.16

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Solution

The fourth proportional to 438,203.05, 657,342.21 and 153,869.16 is: 230,816.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,203.05 : 657,342.21 = 153,869.16 : x
  2. Step 2: Convert to fraction form
    438,203.05/657,342.21 = 153,869.16/x
  3. Step 3: Cross multiply
    438,203.05x = 657,342.21 × 153,869.16
  4. Step 4: Simplify right side
    438,203.05x = 101,144,692,915.90
  5. Step 5: Solve for x
    x = 101,144,692,915.90/438,203.05
  6. Step 6: Final answer
    x = 230,816.96

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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.