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Finding the Fourth Proportional to 361,002, 498,219.58 and 208,045.64

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Solution

The fourth proportional to 361,002, 498,219.58 and 208,045.64 is: 287,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,002 : 498,219.58 = 208,045.64 : x
  2. Step 2: Convert to fraction form
    361,002/498,219.58 = 208,045.64/x
  3. Step 3: Cross multiply
    361,002x = 498,219.58 × 208,045.64
  4. Step 4: Simplify right side
    361,002x = 103,652,411,381.63
  5. Step 5: Solve for x
    x = 103,652,411,381.63/361,002
  6. Step 6: Final answer
    x = 287,124.20

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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.