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Finding the Fourth Proportional to 206,706,902.40, 310,060,353.60 and 145,484,899.20

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Solution

The fourth proportional to 206,706,902.40, 310,060,353.60 and 145,484,899.20 is: 218,227,348.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,706,902.40 : 310,060,353.60 = 145,484,899.20 : x
  2. Step 2: Convert to fraction form
    206,706,902.40/310,060,353.60 = 145,484,899.20/x
  3. Step 3: Cross multiply
    206,706,902.40x = 310,060,353.60 × 145,484,899.20
  4. Step 4: Simplify right side
    206,706,902.40x = 45,109,099,289,412,360
  5. Step 5: Solve for x
    x = 45,109,099,289,412,360/206,706,902.40
  6. Step 6: Final answer
    x = 218,227,348.80

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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.