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Finding the Fourth Proportional to 420,095,421.90, 630,143,132.85 and 420,095,421.90

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Solution

The fourth proportional to 420,095,421.90, 630,143,132.85 and 420,095,421.90 is: 630,143,132.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,095,421.90 : 630,143,132.85 = 420,095,421.90 : x
  2. Step 2: Convert to fraction form
    420,095,421.90/630,143,132.85 = 420,095,421.90/x
  3. Step 3: Cross multiply
    420,095,421.90x = 630,143,132.85 × 420,095,421.90
  4. Step 4: Simplify right side
    420,095,421.90x = 264,720,245,252,008,480
  5. Step 5: Solve for x
    x = 264,720,245,252,008,480/420,095,421.90
  6. Step 6: Final answer
    x = 630,143,132.85

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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.