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Finding the Fourth Proportional to 403,578.60, 604,935.90 and 137,092.20

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Solution

The fourth proportional to 403,578.60, 604,935.90 and 137,092.20 is: 205,491.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,578.60 : 604,935.90 = 137,092.20 : x
  2. Step 2: Convert to fraction form
    403,578.60/604,935.90 = 137,092.20/x
  3. Step 3: Cross multiply
    403,578.60x = 604,935.90 × 137,092.20
  4. Step 4: Simplify right side
    403,578.60x = 82,931,993,389.98
  5. Step 5: Solve for x
    x = 82,931,993,389.98/403,578.60
  6. Step 6: Final answer
    x = 205,491.55

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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.