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Finding the Fourth Proportional to 230,693.72, 318,303 and 140,047.40

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Solution

The fourth proportional to 230,693.72, 318,303 and 140,047.40 is: 193,232.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,693.72 : 318,303 = 140,047.40 : x
  2. Step 2: Convert to fraction form
    230,693.72/318,303 = 140,047.40/x
  3. Step 3: Cross multiply
    230,693.72x = 318,303 × 140,047.40
  4. Step 4: Simplify right side
    230,693.72x = 44,577,507,562.20
  5. Step 5: Solve for x
    x = 44,577,507,562.20/230,693.72
  6. Step 6: Final answer
    x = 193,232.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.