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Finding the Fourth Proportional to 386,419.80, 579,629.70 and 161,741.40

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Solution

The fourth proportional to 386,419.80, 579,629.70 and 161,741.40 is: 242,612.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,419.80 : 579,629.70 = 161,741.40 : x
  2. Step 2: Convert to fraction form
    386,419.80/579,629.70 = 161,741.40/x
  3. Step 3: Cross multiply
    386,419.80x = 579,629.70 × 161,741.40
  4. Step 4: Simplify right side
    386,419.80x = 93,750,119,159.58
  5. Step 5: Solve for x
    x = 93,750,119,159.58/386,419.80
  6. Step 6: Final answer
    x = 242,612.10

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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.