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Finding the Fourth Proportional to 523,684.48, 785,808.24 and 208,144

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Solution

The fourth proportional to 523,684.48, 785,808.24 and 208,144 is: 312,327.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,684.48 : 785,808.24 = 208,144 : x
  2. Step 2: Convert to fraction form
    523,684.48/785,808.24 = 208,144/x
  3. Step 3: Cross multiply
    523,684.48x = 785,808.24 × 208,144
  4. Step 4: Simplify right side
    523,684.48x = 163,561,270,306.56
  5. Step 5: Solve for x
    x = 163,561,270,306.56/523,684.48
  6. Step 6: Final answer
    x = 312,327.89

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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.