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Finding the Fourth Proportional to 281,054.60, 421,776.30 and 202,225.40

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Solution

The fourth proportional to 281,054.60, 421,776.30 and 202,225.40 is: 303,477.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,054.60 : 421,776.30 = 202,225.40 : x
  2. Step 2: Convert to fraction form
    281,054.60/421,776.30 = 202,225.40/x
  3. Step 3: Cross multiply
    281,054.60x = 421,776.30 × 202,225.40
  4. Step 4: Simplify right side
    281,054.60x = 85,293,880,978.02
  5. Step 5: Solve for x
    x = 85,293,880,978.02/281,054.60
  6. Step 6: Final answer
    x = 303,477.98

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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.