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Finding the Fourth Proportional to 306,035.70, 459,053.55 and 211,557.30

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Solution

The fourth proportional to 306,035.70, 459,053.55 and 211,557.30 is: 317,335.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,035.70 : 459,053.55 = 211,557.30 : x
  2. Step 2: Convert to fraction form
    306,035.70/459,053.55 = 211,557.30/x
  3. Step 3: Cross multiply
    306,035.70x = 459,053.55 × 211,557.30
  4. Step 4: Simplify right side
    306,035.70x = 97,116,129,593.42
  5. Step 5: Solve for x
    x = 97,116,129,593.42/306,035.70
  6. Step 6: Final answer
    x = 317,335.95

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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.