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Finding the Fourth Proportional to 420,002.60, 630,003.90 and 270,411.80

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Solution

The fourth proportional to 420,002.60, 630,003.90 and 270,411.80 is: 405,617.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,002.60 : 630,003.90 = 270,411.80 : x
  2. Step 2: Convert to fraction form
    420,002.60/630,003.90 = 270,411.80/x
  3. Step 3: Cross multiply
    420,002.60x = 630,003.90 × 270,411.80
  4. Step 4: Simplify right side
    420,002.60x = 170,360,488,606.02
  5. Step 5: Solve for x
    x = 170,360,488,606.02/420,002.60
  6. Step 6: Final answer
    x = 405,617.70

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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.