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Finding the Fourth Proportional to 378,527.76, 522,368.46 and 208,772.82

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Solution

The fourth proportional to 378,527.76, 522,368.46 and 208,772.82 is: 288,106.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,527.76 : 522,368.46 = 208,772.82 : x
  2. Step 2: Convert to fraction form
    378,527.76/522,368.46 = 208,772.82/x
  3. Step 3: Cross multiply
    378,527.76x = 522,368.46 × 208,772.82
  4. Step 4: Simplify right side
    378,527.76x = 109,056,336,473.26
  5. Step 5: Solve for x
    x = 109,056,336,473.26/378,527.76
  6. Step 6: Final answer
    x = 288,106.57

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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.