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Finding the Fourth Proportional to 420,363.98, 630,646.02 and 136,054.55

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Solution

The fourth proportional to 420,363.98, 630,646.02 and 136,054.55 is: 204,114.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,363.98 : 630,646.02 = 136,054.55 : x
  2. Step 2: Convert to fraction form
    420,363.98/630,646.02 = 136,054.55/x
  3. Step 3: Cross multiply
    420,363.98x = 630,646.02 × 136,054.55
  4. Step 4: Simplify right side
    420,363.98x = 85,802,262,037.01
  5. Step 5: Solve for x
    x = 85,802,262,037.01/420,363.98
  6. Step 6: Final answer
    x = 204,114.21

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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.