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Finding the Fourth Proportional to 492,287,176.76, 738,432,015.80 and 201,154,299.90

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Solution

The fourth proportional to 492,287,176.76, 738,432,015.80 and 201,154,299.90 is: 301,731,960.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,287,176.76 : 738,432,015.80 = 201,154,299.90 : x
  2. Step 2: Convert to fraction form
    492,287,176.76/738,432,015.80 = 201,154,299.90/x
  3. Step 3: Cross multiply
    492,287,176.76x = 738,432,015.80 × 201,154,299.90
  4. Step 4: Simplify right side
    492,287,176.76x = 148,538,775,160,988,960
  5. Step 5: Solve for x
    x = 148,538,775,160,988,960/492,287,176.76
  6. Step 6: Final answer
    x = 301,731,960.89

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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.