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Finding the Fourth Proportional to 420,299.12, 630,093.84 and 195,543.52

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Solution

The fourth proportional to 420,299.12, 630,093.84 and 195,543.52 is: 293,150.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,299.12 : 630,093.84 = 195,543.52 : x
  2. Step 2: Convert to fraction form
    420,299.12/630,093.84 = 195,543.52/x
  3. Step 3: Cross multiply
    420,299.12x = 630,093.84 × 195,543.52
  4. Step 4: Simplify right side
    420,299.12x = 123,210,767,403.92
  5. Step 5: Solve for x
    x = 123,210,767,403.92/420,299.12
  6. Step 6: Final answer
    x = 293,150.19

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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.