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Finding the Fourth Proportional to 385,871.97, 578,808.20 and 161,109.93

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Solution

The fourth proportional to 385,871.97, 578,808.20 and 161,109.93 is: 241,665.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,871.97 : 578,808.20 = 161,109.93 : x
  2. Step 2: Convert to fraction form
    385,871.97/578,808.20 = 161,109.93/x
  3. Step 3: Cross multiply
    385,871.97x = 578,808.20 × 161,109.93
  4. Step 4: Simplify right side
    385,871.97x = 93,251,748,585.43
  5. Step 5: Solve for x
    x = 93,251,748,585.43/385,871.97
  6. Step 6: Final answer
    x = 241,665.00

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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.