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Finding the Fourth Proportional to 361,298.56, 498,590.40 and 208,336

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Solution

The fourth proportional to 361,298.56, 498,590.40 and 208,336 is: 287,502.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,298.56 : 498,590.40 = 208,336 : x
  2. Step 2: Convert to fraction form
    361,298.56/498,590.40 = 208,336/x
  3. Step 3: Cross multiply
    361,298.56x = 498,590.40 × 208,336
  4. Step 4: Simplify right side
    361,298.56x = 103,874,329,574.40
  5. Step 5: Solve for x
    x = 103,874,329,574.40/361,298.56
  6. Step 6: Final answer
    x = 287,502.75

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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.