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Finding the Fourth Proportional to 386,701.95, 580,080.56 and 161,835.96

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Solution

The fourth proportional to 386,701.95, 580,080.56 and 161,835.96 is: 242,765.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,701.95 : 580,080.56 = 161,835.96 : x
  2. Step 2: Convert to fraction form
    386,701.95/580,080.56 = 161,835.96/x
  3. Step 3: Cross multiply
    386,701.95x = 580,080.56 × 161,835.96
  4. Step 4: Simplify right side
    386,701.95x = 93,877,893,495.76
  5. Step 5: Solve for x
    x = 93,877,893,495.76/386,701.95
  6. Step 6: Final answer
    x = 242,765.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.