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Finding the Fourth Proportional to 365,109.81, 546,332.53 and 215,421.81

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Solution

The fourth proportional to 365,109.81, 546,332.53 and 215,421.81 is: 322,346.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,109.81 : 546,332.53 = 215,421.81 : x
  2. Step 2: Convert to fraction form
    365,109.81/546,332.53 = 215,421.81/x
  3. Step 3: Cross multiply
    365,109.81x = 546,332.53 × 215,421.81
  4. Step 4: Simplify right side
    365,109.81x = 117,691,942,474.48
  5. Step 5: Solve for x
    x = 117,691,942,474.48/365,109.81
  6. Step 6: Final answer
    x = 322,346.70

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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.