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Finding the Fourth Proportional to 361,303.56, 498,597.30 and 208,341

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Solution

The fourth proportional to 361,303.56, 498,597.30 and 208,341 is: 287,509.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,303.56 : 498,597.30 = 208,341 : x
  2. Step 2: Convert to fraction form
    361,303.56/498,597.30 = 208,341/x
  3. Step 3: Cross multiply
    361,303.56x = 498,597.30 × 208,341
  4. Step 4: Simplify right side
    361,303.56x = 103,878,260,079.30
  5. Step 5: Solve for x
    x = 103,878,260,079.30/361,303.56
  6. Step 6: Final answer
    x = 287,509.65

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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.