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Finding the Fourth Proportional to 292,415.38, 403,534.50 and 158,279.38

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Solution

The fourth proportional to 292,415.38, 403,534.50 and 158,279.38 is: 218,426.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,415.38 : 403,534.50 = 158,279.38 : x
  2. Step 2: Convert to fraction form
    292,415.38/403,534.50 = 158,279.38/x
  3. Step 3: Cross multiply
    292,415.38x = 403,534.50 × 158,279.38
  4. Step 4: Simplify right side
    292,415.38x = 63,871,190,468.61
  5. Step 5: Solve for x
    x = 63,871,190,468.61/292,415.38
  6. Step 6: Final answer
    x = 218,426.23

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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.