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Finding the Fourth Proportional to 660,523,266.90, 990,784,900.35 and 200,460,698.10

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Solution

The fourth proportional to 660,523,266.90, 990,784,900.35 and 200,460,698.10 is: 300,691,047.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,523,266.90 : 990,784,900.35 = 200,460,698.10 : x
  2. Step 2: Convert to fraction form
    660,523,266.90/990,784,900.35 = 200,460,698.10/x
  3. Step 3: Cross multiply
    660,523,266.90x = 990,784,900.35 × 200,460,698.10
  4. Step 4: Simplify right side
    660,523,266.90x = 198,613,432,791,099,936
  5. Step 5: Solve for x
    x = 198,613,432,791,099,936/660,523,266.90
  6. Step 6: Final answer
    x = 300,691,047.15

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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.