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Finding the Fourth Proportional to 459,519.84, 688,575.60 and 309,204

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Solution

The fourth proportional to 459,519.84, 688,575.60 and 309,204 is: 463,332.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,519.84 : 688,575.60 = 309,204 : x
  2. Step 2: Convert to fraction form
    459,519.84/688,575.60 = 309,204/x
  3. Step 3: Cross multiply
    459,519.84x = 688,575.60 × 309,204
  4. Step 4: Simplify right side
    459,519.84x = 212,910,329,822.40
  5. Step 5: Solve for x
    x = 212,910,329,822.40/459,519.84
  6. Step 6: Final answer
    x = 463,332.18

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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.