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Finding the Fourth Proportional to 208,306.62, 312,459.90 and 58,540.86

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Solution

The fourth proportional to 208,306.62, 312,459.90 and 58,540.86 is: 87,811.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,306.62 : 312,459.90 = 58,540.86 : x
  2. Step 2: Convert to fraction form
    208,306.62/312,459.90 = 58,540.86/x
  3. Step 3: Cross multiply
    208,306.62x = 312,459.90 × 58,540.86
  4. Step 4: Simplify right side
    208,306.62x = 18,291,671,261.51
  5. Step 5: Solve for x
    x = 18,291,671,261.51/208,306.62
  6. Step 6: Final answer
    x = 87,811.28

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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.