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Finding the Fourth Proportional to 459,151.20, 633,410 and 306,260

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Solution

The fourth proportional to 459,151.20, 633,410 and 306,260 is: 422,492.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,151.20 : 633,410 = 306,260 : x
  2. Step 2: Convert to fraction form
    459,151.20/633,410 = 306,260/x
  3. Step 3: Cross multiply
    459,151.20x = 633,410 × 306,260
  4. Step 4: Simplify right side
    459,151.20x = 193,988,146,600
  5. Step 5: Solve for x
    x = 193,988,146,600/459,151.20
  6. Step 6: Final answer
    x = 422,492.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.