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Finding the Fourth Proportional to 523,543.23, 785,221.37 and 139,294.29

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Solution

The fourth proportional to 523,543.23, 785,221.37 and 139,294.29 is: 208,916.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,543.23 : 785,221.37 = 139,294.29 : x
  2. Step 2: Convert to fraction form
    523,543.23/785,221.37 = 139,294.29/x
  3. Step 3: Cross multiply
    523,543.23x = 785,221.37 × 139,294.29
  4. Step 4: Simplify right side
    523,543.23x = 109,376,852,530.51
  5. Step 5: Solve for x
    x = 109,376,852,530.51/523,543.23
  6. Step 6: Final answer
    x = 208,916.56

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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.