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Finding the Fourth Proportional to 420,205.64, 630,313.92 and 139,722.88

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Solution

The fourth proportional to 420,205.64, 630,313.92 and 139,722.88 is: 209,586.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,205.64 : 630,313.92 = 139,722.88 : x
  2. Step 2: Convert to fraction form
    420,205.64/630,313.92 = 139,722.88/x
  3. Step 3: Cross multiply
    420,205.64x = 630,313.92 × 139,722.88
  4. Step 4: Simplify right side
    420,205.64x = 88,069,276,206.49
  5. Step 5: Solve for x
    x = 88,069,276,206.49/420,205.64
  6. Step 6: Final answer
    x = 209,586.14

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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.