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Finding the Fourth Proportional to 409,306.98, 613,930.50 and 128,904.42

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Solution

The fourth proportional to 409,306.98, 613,930.50 and 128,904.42 is: 193,347.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,306.98 : 613,930.50 = 128,904.42 : x
  2. Step 2: Convert to fraction form
    409,306.98/613,930.50 = 128,904.42/x
  3. Step 3: Cross multiply
    409,306.98x = 613,930.50 × 128,904.42
  4. Step 4: Simplify right side
    409,306.98x = 79,138,355,022.81
  5. Step 5: Solve for x
    x = 79,138,355,022.81/409,306.98
  6. Step 6: Final answer
    x = 193,347.19

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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.