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Finding the Fourth Proportional to 409,424.09, 614,136.13 and 159,931.13

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Solution

The fourth proportional to 409,424.09, 614,136.13 and 159,931.13 is: 239,896.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,424.09 : 614,136.13 = 159,931.13 : x
  2. Step 2: Convert to fraction form
    409,424.09/614,136.13 = 159,931.13/x
  3. Step 3: Cross multiply
    409,424.09x = 614,136.13 × 159,931.13
  4. Step 4: Simplify right side
    409,424.09x = 98,219,481,774.22
  5. Step 5: Solve for x
    x = 98,219,481,774.22/409,424.09
  6. Step 6: Final answer
    x = 239,896.69

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Similar ratio
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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.