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Finding the Fourth Proportional to 292,814, 404,083.32 and 158,678

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Solution

The fourth proportional to 292,814, 404,083.32 and 158,678 is: 218,975.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,814 : 404,083.32 = 158,678 : x
  2. Step 2: Convert to fraction form
    292,814/404,083.32 = 158,678/x
  3. Step 3: Cross multiply
    292,814x = 404,083.32 × 158,678
  4. Step 4: Simplify right side
    292,814x = 64,119,133,050.96
  5. Step 5: Solve for x
    x = 64,119,133,050.96/292,814
  6. Step 6: Final answer
    x = 218,975.64

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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.