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Finding the Fourth Proportional to 409,001.40, 613,502.10 and 128,518.20

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Solution

The fourth proportional to 409,001.40, 613,502.10 and 128,518.20 is: 192,777.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,001.40 : 613,502.10 = 128,518.20 : x
  2. Step 2: Convert to fraction form
    409,001.40/613,502.10 = 128,518.20/x
  3. Step 3: Cross multiply
    409,001.40x = 613,502.10 × 128,518.20
  4. Step 4: Simplify right side
    409,001.40x = 78,846,185,588.22
  5. Step 5: Solve for x
    x = 78,846,185,588.22/409,001.40
  6. Step 6: Final answer
    x = 192,777.30

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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.