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Finding the Fourth Proportional to 292,520, 403,677.60 and 158,384

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Solution

The fourth proportional to 292,520, 403,677.60 and 158,384 is: 218,569.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,520 : 403,677.60 = 158,384 : x
  2. Step 2: Convert to fraction form
    292,520/403,677.60 = 158,384/x
  3. Step 3: Cross multiply
    292,520x = 403,677.60 × 158,384
  4. Step 4: Simplify right side
    292,520x = 63,936,072,998.40
  5. Step 5: Solve for x
    x = 63,936,072,998.40/292,520
  6. Step 6: Final answer
    x = 218,569.92

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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.