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Finding the Fourth Proportional to 390,580.66, 538,975.80 and 218,468.80

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Solution

The fourth proportional to 390,580.66, 538,975.80 and 218,468.80 is: 301,472.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,580.66 : 538,975.80 = 218,468.80 : x
  2. Step 2: Convert to fraction form
    390,580.66/538,975.80 = 218,468.80/x
  3. Step 3: Cross multiply
    390,580.66x = 538,975.80 × 218,468.80
  4. Step 4: Simplify right side
    390,580.66x = 117,749,396,255.04
  5. Step 5: Solve for x
    x = 117,749,396,255.04/390,580.66
  6. Step 6: Final answer
    x = 301,472.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.