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Finding the Fourth Proportional to 381,014.16, 570,400.12 and 254,340.22

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Solution

The fourth proportional to 381,014.16, 570,400.12 and 254,340.22 is: 380,761.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,014.16 : 570,400.12 = 254,340.22 : x
  2. Step 2: Convert to fraction form
    381,014.16/570,400.12 = 254,340.22/x
  3. Step 3: Cross multiply
    381,014.16x = 570,400.12 × 254,340.22
  4. Step 4: Simplify right side
    381,014.16x = 145,075,691,254.92
  5. Step 5: Solve for x
    x = 145,075,691,254.92/381,014.16
  6. Step 6: Final answer
    x = 380,761.94

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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.