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Finding the Fourth Proportional to 420,219.20, 630,415.20 and 139,937.60

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Solution

The fourth proportional to 420,219.20, 630,415.20 and 139,937.60 is: 209,935.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,219.20 : 630,415.20 = 139,937.60 : x
  2. Step 2: Convert to fraction form
    420,219.20/630,415.20 = 139,937.60/x
  3. Step 3: Cross multiply
    420,219.20x = 630,415.20 × 139,937.60
  4. Step 4: Simplify right side
    420,219.20x = 88,218,790,091.52
  5. Step 5: Solve for x
    x = 88,218,790,091.52/420,219.20
  6. Step 6: Final answer
    x = 209,935.17

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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.