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Finding the Fourth Proportional to 499,018.15, 688,644.36 and 284,158.21

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Solution

The fourth proportional to 499,018.15, 688,644.36 and 284,158.21 is: 392,137.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,018.15 : 688,644.36 = 284,158.21 : x
  2. Step 2: Convert to fraction form
    499,018.15/688,644.36 = 284,158.21/x
  3. Step 3: Cross multiply
    499,018.15x = 688,644.36 × 284,158.21
  4. Step 4: Simplify right side
    499,018.15x = 195,683,945,220.97
  5. Step 5: Solve for x
    x = 195,683,945,220.97/499,018.15
  6. Step 6: Final answer
    x = 392,137.94

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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.