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Finding the Fourth Proportional to 499,297.98, 688,954.14 and 284,410.74

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Solution

The fourth proportional to 499,297.98, 688,954.14 and 284,410.74 is: 392,442.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,297.98 : 688,954.14 = 284,410.74 : x
  2. Step 2: Convert to fraction form
    499,297.98/688,954.14 = 284,410.74/x
  3. Step 3: Cross multiply
    499,297.98x = 688,954.14 × 284,410.74
  4. Step 4: Simplify right side
    499,297.98x = 195,945,956,783.46
  5. Step 5: Solve for x
    x = 195,945,956,783.46/499,297.98
  6. Step 6: Final answer
    x = 392,442.92

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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.