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Finding the Fourth Proportional to 400,697,974.80, 600,697,042.20 and 155,222,096.40

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Solution

The fourth proportional to 400,697,974.80, 600,697,042.20 and 155,222,096.40 is: 232,697,592.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,697,974.80 : 600,697,042.20 = 155,222,096.40 : x
  2. Step 2: Convert to fraction form
    400,697,974.80/600,697,042.20 = 155,222,096.40/x
  3. Step 3: Cross multiply
    400,697,974.80x = 600,697,042.20 × 155,222,096.40
  4. Step 4: Simplify right side
    400,697,974.80x = 93,241,454,191,563,280
  5. Step 5: Solve for x
    x = 93,241,454,191,563,280/400,697,974.80
  6. Step 6: Final answer
    x = 232,697,592.84

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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.