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Finding the Fourth Proportional to 284,990.30, 427,384.65 and 97,958.30

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Solution

The fourth proportional to 284,990.30, 427,384.65 and 97,958.30 is: 146,902.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,990.30 : 427,384.65 = 97,958.30 : x
  2. Step 2: Convert to fraction form
    284,990.30/427,384.65 = 97,958.30/x
  3. Step 3: Cross multiply
    284,990.30x = 427,384.65 × 97,958.30
  4. Step 4: Simplify right side
    284,990.30x = 41,865,873,760.10
  5. Step 5: Solve for x
    x = 41,865,873,760.10/284,990.30
  6. Step 6: Final answer
    x = 146,902.80

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1.5x scale

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.