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Finding the Fourth Proportional to 869,365,200.60, 1,304,047,800.90 and 783,368,861.40

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Solution

The fourth proportional to 869,365,200.60, 1,304,047,800.90 and 783,368,861.40 is: 1,175,053,292.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,365,200.60 : 1,304,047,800.90 = 783,368,861.40 : x
  2. Step 2: Convert to fraction form
    869,365,200.60/1,304,047,800.90 = 783,368,861.40/x
  3. Step 3: Cross multiply
    869,365,200.60x = 1,304,047,800.90 × 783,368,861.40
  4. Step 4: Simplify right side
    869,365,200.60x = 1,021,550,441,002,206,976
  5. Step 5: Solve for x
    x = 1,021,550,441,002,206,976/869,365,200.60
  6. Step 6: Final answer
    x = 1,175,053,292.10

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1.5x scale

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.