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Finding the Fourth Proportional to 310,847,280.70, 435,823,202.90 and 310,847,280.70

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Solution

The fourth proportional to 310,847,280.70, 435,823,202.90 and 310,847,280.70 is: 435,823,202.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,847,280.70 : 435,823,202.90 = 310,847,280.70 : x
  2. Step 2: Convert to fraction form
    310,847,280.70/435,823,202.90 = 310,847,280.70/x
  3. Step 3: Cross multiply
    310,847,280.70x = 435,823,202.90 × 310,847,280.70
  4. Step 4: Simplify right side
    310,847,280.70x = 135,474,457,487,429,344
  5. Step 5: Solve for x
    x = 135,474,457,487,429,344/310,847,280.70
  6. Step 6: Final answer
    x = 435,823,202.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.