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Finding the Fourth Proportional to 403,417.02, 605,191.22 and 119,136.34

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Solution

The fourth proportional to 403,417.02, 605,191.22 and 119,136.34 is: 178,723.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,417.02 : 605,191.22 = 119,136.34 : x
  2. Step 2: Convert to fraction form
    403,417.02/605,191.22 = 119,136.34/x
  3. Step 3: Cross multiply
    403,417.02x = 605,191.22 × 119,136.34
  4. Step 4: Simplify right side
    403,417.02x = 72,100,266,950.93
  5. Step 5: Solve for x
    x = 72,100,266,950.93/403,417.02
  6. Step 6: Final answer
    x = 178,723.91

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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.