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Finding the Fourth Proportional to 289,518.96, 399,531.33 and 158,695.35

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Solution

The fourth proportional to 289,518.96, 399,531.33 and 158,695.35 is: 218,996.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,518.96 : 399,531.33 = 158,695.35 : x
  2. Step 2: Convert to fraction form
    289,518.96/399,531.33 = 158,695.35/x
  3. Step 3: Cross multiply
    289,518.96x = 399,531.33 × 158,695.35
  4. Step 4: Simplify right side
    289,518.96x = 63,403,764,250.32
  5. Step 5: Solve for x
    x = 63,403,764,250.32/289,518.96
  6. Step 6: Final answer
    x = 218,996.93

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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.