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Finding the Fourth Proportional to 202,161,978.90, 303,242,968.35 and 194,225,793.30

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Solution

The fourth proportional to 202,161,978.90, 303,242,968.35 and 194,225,793.30 is: 291,338,689.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,161,978.90 : 303,242,968.35 = 194,225,793.30 : x
  2. Step 2: Convert to fraction form
    202,161,978.90/303,242,968.35 = 194,225,793.30/x
  3. Step 3: Cross multiply
    202,161,978.90x = 303,242,968.35 × 194,225,793.30
  4. Step 4: Simplify right side
    202,161,978.90x = 58,897,606,090,425,552
  5. Step 5: Solve for x
    x = 58,897,606,090,425,552/202,161,978.90
  6. Step 6: Final answer
    x = 291,338,689.95

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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.