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Finding the Fourth Proportional to 499,018.40, 688,644.71 and 284,158.46

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Solution

The fourth proportional to 499,018.40, 688,644.71 and 284,158.46 is: 392,138.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,018.40 : 688,644.71 = 284,158.46 : x
  2. Step 2: Convert to fraction form
    499,018.40/688,644.71 = 284,158.46/x
  3. Step 3: Cross multiply
    499,018.40x = 688,644.71 × 284,158.46
  4. Step 4: Simplify right side
    499,018.40x = 195,684,215,416.73
  5. Step 5: Solve for x
    x = 195,684,215,416.73/499,018.40
  6. Step 6: Final answer
    x = 392,138.28

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1.5x scale

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.