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Finding the Fourth Proportional to 206,985,773.70, 310,478,660.55 and 176,209,434.90

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Solution

The fourth proportional to 206,985,773.70, 310,478,660.55 and 176,209,434.90 is: 264,314,152.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,985,773.70 : 310,478,660.55 = 176,209,434.90 : x
  2. Step 2: Convert to fraction form
    206,985,773.70/310,478,660.55 = 176,209,434.90/x
  3. Step 3: Cross multiply
    206,985,773.70x = 310,478,660.55 × 176,209,434.90
  4. Step 4: Simplify right side
    206,985,773.70x = 54,709,269,324,024,424
  5. Step 5: Solve for x
    x = 54,709,269,324,024,424/206,985,773.70
  6. Step 6: Final answer
    x = 264,314,152.35

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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.