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Finding the Fourth Proportional to 420,874.80, 631,312.20 and 105,331.20

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Solution

The fourth proportional to 420,874.80, 631,312.20 and 105,331.20 is: 157,996.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,874.80 : 631,312.20 = 105,331.20 : x
  2. Step 2: Convert to fraction form
    420,874.80/631,312.20 = 105,331.20/x
  3. Step 3: Cross multiply
    420,874.80x = 631,312.20 × 105,331.20
  4. Step 4: Simplify right side
    420,874.80x = 66,496,871,600.64
  5. Step 5: Solve for x
    x = 66,496,871,600.64/420,874.80
  6. Step 6: Final answer
    x = 157,996.80

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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.