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Finding the Fourth Proportional to 378,155.64, 521,852.28 and 208,389.90

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Solution

The fourth proportional to 378,155.64, 521,852.28 and 208,389.90 is: 287,576.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,155.64 : 521,852.28 = 208,389.90 : x
  2. Step 2: Convert to fraction form
    378,155.64/521,852.28 = 208,389.90/x
  3. Step 3: Cross multiply
    378,155.64x = 521,852.28 × 208,389.90
  4. Step 4: Simplify right side
    378,155.64x = 108,748,744,443.97
  5. Step 5: Solve for x
    x = 108,748,744,443.97/378,155.64
  6. Step 6: Final answer
    x = 287,576.68

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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.