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Finding the Fourth Proportional to 233,451.46, 322,175 and 142,778.98

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Solution

The fourth proportional to 233,451.46, 322,175 and 142,778.98 is: 197,042.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,451.46 : 322,175 = 142,778.98 : x
  2. Step 2: Convert to fraction form
    233,451.46/322,175 = 142,778.98/x
  3. Step 3: Cross multiply
    233,451.46x = 322,175 × 142,778.98
  4. Step 4: Simplify right side
    233,451.46x = 45,999,817,881.50
  5. Step 5: Solve for x
    x = 45,999,817,881.50/233,451.46
  6. Step 6: Final answer
    x = 197,042.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.