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Finding the Fourth Proportional to 290,246,363.10, 407,492,820.90 and 290,246,363.10

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Solution

The fourth proportional to 290,246,363.10, 407,492,820.90 and 290,246,363.10 is: 407,492,820.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,246,363.10 : 407,492,820.90 = 290,246,363.10 : x
  2. Step 2: Convert to fraction form
    290,246,363.10/407,492,820.90 = 290,246,363.10/x
  3. Step 3: Cross multiply
    290,246,363.10x = 407,492,820.90 × 290,246,363.10
  4. Step 4: Simplify right side
    290,246,363.10x = 118,273,309,255,584,672
  5. Step 5: Solve for x
    x = 118,273,309,255,584,672/290,246,363.10
  6. Step 6: Final answer
    x = 407,492,820.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.