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Finding the Fourth Proportional to 358,910.47, 538,459.16 and 134,288.47

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Solution

The fourth proportional to 358,910.47, 538,459.16 and 134,288.47 is: 201,467.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,910.47 : 538,459.16 = 134,288.47 : x
  2. Step 2: Convert to fraction form
    358,910.47/538,459.16 = 134,288.47/x
  3. Step 3: Cross multiply
    358,910.47x = 538,459.16 × 134,288.47
  4. Step 4: Simplify right side
    358,910.47x = 72,308,856,753.89
  5. Step 5: Solve for x
    x = 72,308,856,753.89/358,910.47
  6. Step 6: Final answer
    x = 201,467.67

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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.