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Finding the Fourth Proportional to 280,420.80, 420,477.60 and 114,020.80

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Solution

The fourth proportional to 280,420.80, 420,477.60 and 114,020.80 is: 170,968.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,420.80 : 420,477.60 = 114,020.80 : x
  2. Step 2: Convert to fraction form
    280,420.80/420,477.60 = 114,020.80/x
  3. Step 3: Cross multiply
    280,420.80x = 420,477.60 × 114,020.80
  4. Step 4: Simplify right side
    280,420.80x = 47,943,192,334.08
  5. Step 5: Solve for x
    x = 47,943,192,334.08/280,420.80
  6. Step 6: Final answer
    x = 170,968.75

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1.5x scale

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.