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Finding the Fourth Proportional to 438,723.66, 657,990.42 and 256,232.49

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Solution

The fourth proportional to 438,723.66, 657,990.42 and 256,232.49 is: 384,293.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,723.66 : 657,990.42 = 256,232.49 : x
  2. Step 2: Convert to fraction form
    438,723.66/657,990.42 = 256,232.49/x
  3. Step 3: Cross multiply
    438,723.66x = 657,990.42 × 256,232.49
  4. Step 4: Simplify right side
    438,723.66x = 168,598,523,712.75
  5. Step 5: Solve for x
    x = 168,598,523,712.75/438,723.66
  6. Step 6: Final answer
    x = 384,293.21

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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.