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Finding the Fourth Proportional to 412,406.40, 569,157.48 and 240,315

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Solution

The fourth proportional to 412,406.40, 569,157.48 and 240,315 is: 331,656.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,406.40 : 569,157.48 = 240,315 : x
  2. Step 2: Convert to fraction form
    412,406.40/569,157.48 = 240,315/x
  3. Step 3: Cross multiply
    412,406.40x = 569,157.48 × 240,315
  4. Step 4: Simplify right side
    412,406.40x = 136,777,079,806.20
  5. Step 5: Solve for x
    x = 136,777,079,806.20/412,406.40
  6. Step 6: Final answer
    x = 331,656.06

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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.