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Finding the Fourth Proportional to 292,636, 403,837.68 and 158,500

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Solution

The fourth proportional to 292,636, 403,837.68 and 158,500 is: 218,730

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,636 : 403,837.68 = 158,500 : x
  2. Step 2: Convert to fraction form
    292,636/403,837.68 = 158,500/x
  3. Step 3: Cross multiply
    292,636x = 403,837.68 × 158,500
  4. Step 4: Simplify right side
    292,636x = 64,008,272,280
  5. Step 5: Solve for x
    x = 64,008,272,280/292,636
  6. Step 6: Final answer
    x = 218,730

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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.