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Finding the Fourth Proportional to 420,807.68, 631,075.20 and 140,249.60

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Solution

The fourth proportional to 420,807.68, 631,075.20 and 140,249.60 is: 210,328.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,807.68 : 631,075.20 = 140,249.60 : x
  2. Step 2: Convert to fraction form
    420,807.68/631,075.20 = 140,249.60/x
  3. Step 3: Cross multiply
    420,807.68x = 631,075.20 × 140,249.60
  4. Step 4: Simplify right side
    420,807.68x = 88,508,044,369.92
  5. Step 5: Solve for x
    x = 88,508,044,369.92/420,807.68
  6. Step 6: Final answer
    x = 210,328.97

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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.