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Finding the Fourth Proportional to 374,891.52, 517,328.64 and 205,128.96

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Solution

The fourth proportional to 374,891.52, 517,328.64 and 205,128.96 is: 283,066.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,891.52 : 517,328.64 = 205,128.96 : x
  2. Step 2: Convert to fraction form
    374,891.52/517,328.64 = 205,128.96/x
  3. Step 3: Cross multiply
    374,891.52x = 517,328.64 × 205,128.96
  4. Step 4: Simplify right side
    374,891.52x = 106,119,085,901.41
  5. Step 5: Solve for x
    x = 106,119,085,901.41/374,891.52
  6. Step 6: Final answer
    x = 283,066.11

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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.