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Finding the Fourth Proportional to 201,010,007.20, 300,877,281.60 and 201,010,007.20

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Solution

The fourth proportional to 201,010,007.20, 300,877,281.60 and 201,010,007.20 is: 300,877,281.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,010,007.20 : 300,877,281.60 = 201,010,007.20 : x
  2. Step 2: Convert to fraction form
    201,010,007.20/300,877,281.60 = 201,010,007.20/x
  3. Step 3: Cross multiply
    201,010,007.20x = 300,877,281.60 × 201,010,007.20
  4. Step 4: Simplify right side
    201,010,007.20x = 60,479,344,540,732,432
  5. Step 5: Solve for x
    x = 60,479,344,540,732,432/201,010,007.20
  6. Step 6: Final answer
    x = 300,877,281.60

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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.