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Finding the Fourth Proportional to 292,256, 403,316.16 and 158,122.88

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Solution

The fourth proportional to 292,256, 403,316.16 and 158,122.88 is: 218,211.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,256 : 403,316.16 = 158,122.88 : x
  2. Step 2: Convert to fraction form
    292,256/403,316.16 = 158,122.88/x
  3. Step 3: Cross multiply
    292,256x = 403,316.16 × 158,122.88
  4. Step 4: Simplify right side
    292,256x = 63,773,512,769.74
  5. Step 5: Solve for x
    x = 63,773,512,769.74/292,256
  6. Step 6: Final answer
    x = 218,211.13

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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.