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Finding the Fourth Proportional to 438,750, 657,991.32 and 228,273.12

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Solution

The fourth proportional to 438,750, 657,991.32 and 228,273.12 is: 342,340.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,750 : 657,991.32 = 228,273.12 : x
  2. Step 2: Convert to fraction form
    438,750/657,991.32 = 228,273.12/x
  3. Step 3: Cross multiply
    438,750x = 657,991.32 × 228,273.12
  4. Step 4: Simplify right side
    438,750x = 150,201,731,549.32
  5. Step 5: Solve for x
    x = 150,201,731,549.32/438,750
  6. Step 6: Final answer
    x = 342,340.13

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1.5x scale

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.