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Finding the Fourth Proportional to 281,045.60, 421,762.80 and 202,216.40

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Solution

The fourth proportional to 281,045.60, 421,762.80 and 202,216.40 is: 303,464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,045.60 : 421,762.80 = 202,216.40 : x
  2. Step 2: Convert to fraction form
    281,045.60/421,762.80 = 202,216.40/x
  3. Step 3: Cross multiply
    281,045.60x = 421,762.80 × 202,216.40
  4. Step 4: Simplify right side
    281,045.60x = 85,287,355,069.92
  5. Step 5: Solve for x
    x = 85,287,355,069.92/281,045.60
  6. Step 6: Final answer
    x = 303,464.47

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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.