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Finding the Fourth Proportional to 361,340.34, 498,636.44 and 208,384.98

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Solution

The fourth proportional to 361,340.34, 498,636.44 and 208,384.98 is: 287,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,340.34 : 498,636.44 = 208,384.98 : x
  2. Step 2: Convert to fraction form
    361,340.34/498,636.44 = 208,384.98/x
  3. Step 3: Cross multiply
    361,340.34x = 498,636.44 × 208,384.98
  4. Step 4: Simplify right side
    361,340.34x = 103,908,343,534.75
  5. Step 5: Solve for x
    x = 103,908,343,534.75/361,340.34
  6. Step 6: Final answer
    x = 287,563.64

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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.