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Finding the Fourth Proportional to 523,545.47, 785,224.72 and 139,296.53

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Solution

The fourth proportional to 523,545.47, 785,224.72 and 139,296.53 is: 208,919.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,545.47 : 785,224.72 = 139,296.53 : x
  2. Step 2: Convert to fraction form
    523,545.47/785,224.72 = 139,296.53/x
  3. Step 3: Cross multiply
    523,545.47x = 785,224.72 × 139,296.53
  4. Step 4: Simplify right side
    523,545.47x = 109,379,080,032.80
  5. Step 5: Solve for x
    x = 109,379,080,032.80/523,545.47
  6. Step 6: Final answer
    x = 208,919.92

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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.