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Finding the Fourth Proportional to 318,072,809.80, 477,109,214.70 and 221,326,928.20

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Solution

The fourth proportional to 318,072,809.80, 477,109,214.70 and 221,326,928.20 is: 331,990,392.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,072,809.80 : 477,109,214.70 = 221,326,928.20 : x
  2. Step 2: Convert to fraction form
    318,072,809.80/477,109,214.70 = 221,326,928.20/x
  3. Step 3: Cross multiply
    318,072,809.80x = 477,109,214.70 × 221,326,928.20
  4. Step 4: Simplify right side
    318,072,809.80x = 105,597,116,905,465,280
  5. Step 5: Solve for x
    x = 105,597,116,905,465,280/318,072,809.80
  6. Step 6: Final answer
    x = 331,990,392.30

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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.