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Finding the Fourth Proportional to 420,772.80, 631,159.20 and 254,884.80

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Solution

The fourth proportional to 420,772.80, 631,159.20 and 254,884.80 is: 382,327.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,772.80 : 631,159.20 = 254,884.80 : x
  2. Step 2: Convert to fraction form
    420,772.80/631,159.20 = 254,884.80/x
  3. Step 3: Cross multiply
    420,772.80x = 631,159.20 × 254,884.80
  4. Step 4: Simplify right side
    420,772.80x = 160,872,886,460.16
  5. Step 5: Solve for x
    x = 160,872,886,460.16/420,772.80
  6. Step 6: Final answer
    x = 382,327.20

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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.