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Finding the Fourth Proportional to 420,309,030.90, 630,463,546.35 and 420,309,030.90

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Solution

The fourth proportional to 420,309,030.90, 630,463,546.35 and 420,309,030.90 is: 630,463,546.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,309,030.90 : 630,463,546.35 = 420,309,030.90 : x
  2. Step 2: Convert to fraction form
    420,309,030.90/630,463,546.35 = 420,309,030.90/x
  3. Step 3: Cross multiply
    420,309,030.90x = 630,463,546.35 × 420,309,030.90
  4. Step 4: Simplify right side
    420,309,030.90x = 264,989,522,184,145,728
  5. Step 5: Solve for x
    x = 264,989,522,184,145,728/420,309,030.90
  6. Step 6: Final answer
    x = 630,463,546.35

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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.