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Finding the Fourth Proportional to 292,278, 403,343.64 and 158,142

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Solution

The fourth proportional to 292,278, 403,343.64 and 158,142 is: 218,235.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,278 : 403,343.64 = 158,142 : x
  2. Step 2: Convert to fraction form
    292,278/403,343.64 = 158,142/x
  3. Step 3: Cross multiply
    292,278x = 403,343.64 × 158,142
  4. Step 4: Simplify right side
    292,278x = 63,785,569,916.88
  5. Step 5: Solve for x
    x = 63,785,569,916.88/292,278
  6. Step 6: Final answer
    x = 218,235.96

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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.