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Finding the Fourth Proportional to 292,679, 403,897.14 and 158,543

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Solution

The fourth proportional to 292,679, 403,897.14 and 158,543 is: 218,789.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,679 : 403,897.14 = 158,543 : x
  2. Step 2: Convert to fraction form
    292,679/403,897.14 = 158,543/x
  3. Step 3: Cross multiply
    292,679x = 403,897.14 × 158,543
  4. Step 4: Simplify right side
    292,679x = 64,035,064,267.02
  5. Step 5: Solve for x
    x = 64,035,064,267.02/292,679
  6. Step 6: Final answer
    x = 218,789.41

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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.