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Finding the Fourth Proportional to 361,322.78, 498,695.18 and 208,459.67

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Solution

The fourth proportional to 361,322.78, 498,695.18 and 208,459.67 is: 287,714.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,322.78 : 498,695.18 = 208,459.67 : x
  2. Step 2: Convert to fraction form
    361,322.78/498,695.18 = 208,459.67/x
  3. Step 3: Cross multiply
    361,322.78x = 498,695.18 × 208,459.67
  4. Step 4: Simplify right side
    361,322.78x = 103,957,829,117.62
  5. Step 5: Solve for x
    x = 103,957,829,117.62/361,322.78
  6. Step 6: Final answer
    x = 287,714.58

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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.