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Finding the Fourth Proportional to 1,247,512,978.60, 1,869,253,928.70 and 786,626,348.20

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Solution

The fourth proportional to 1,247,512,978.60, 1,869,253,928.70 and 786,626,348.20 is: 1,178,668,612.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247,512,978.60 : 1,869,253,928.70 = 786,626,348.20 : x
  2. Step 2: Convert to fraction form
    1,247,512,978.60/1,869,253,928.70 = 786,626,348.20/x
  3. Step 3: Cross multiply
    1,247,512,978.60x = 1,869,253,928.70 × 786,626,348.20
  4. Step 4: Simplify right side
    1,247,512,978.60x = 1,470,404,391,791,784,192
  5. Step 5: Solve for x
    x = 1,470,404,391,791,784,192/1,247,512,978.60
  6. Step 6: Final answer
    x = 1,178,668,612.68

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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.