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Finding the Fourth Proportional to 459,521.84, 688,578.60 and 309,206

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Solution

The fourth proportional to 459,521.84, 688,578.60 and 309,206 is: 463,335.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,521.84 : 688,578.60 = 309,206 : x
  2. Step 2: Convert to fraction form
    459,521.84/688,578.60 = 309,206/x
  3. Step 3: Cross multiply
    459,521.84x = 688,578.60 × 309,206
  4. Step 4: Simplify right side
    459,521.84x = 212,912,634,591.60
  5. Step 5: Solve for x
    x = 212,912,634,591.60/459,521.84
  6. Step 6: Final answer
    x = 463,335.18

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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.