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Finding the Fourth Proportional to 438,401.80, 657,602.70 and 202,205.80

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Solution

The fourth proportional to 438,401.80, 657,602.70 and 202,205.80 is: 303,308.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,401.80 : 657,602.70 = 202,205.80 : x
  2. Step 2: Convert to fraction form
    438,401.80/657,602.70 = 202,205.80/x
  3. Step 3: Cross multiply
    438,401.80x = 657,602.70 × 202,205.80
  4. Step 4: Simplify right side
    438,401.80x = 132,971,080,035.66
  5. Step 5: Solve for x
    x = 132,971,080,035.66/438,401.80
  6. Step 6: Final answer
    x = 303,308.70

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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.