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Finding the Fourth Proportional to 499,235.84, 688,865 and 284,380.10

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Solution

The fourth proportional to 499,235.84, 688,865 and 284,380.10 is: 392,398.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,235.84 : 688,865 = 284,380.10 : x
  2. Step 2: Convert to fraction form
    499,235.84/688,865 = 284,380.10/x
  3. Step 3: Cross multiply
    499,235.84x = 688,865 × 284,380.10
  4. Step 4: Simplify right side
    499,235.84x = 195,899,497,586.50
  5. Step 5: Solve for x
    x = 195,899,497,586.50/499,235.84
  6. Step 6: Final answer
    x = 392,398.71

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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.