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Finding the Fourth Proportional to 295,557.40, 407,878.98 and 161,421.40

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Solution

The fourth proportional to 295,557.40, 407,878.98 and 161,421.40 is: 222,766.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,557.40 : 407,878.98 = 161,421.40 : x
  2. Step 2: Convert to fraction form
    295,557.40/407,878.98 = 161,421.40/x
  3. Step 3: Cross multiply
    295,557.40x = 407,878.98 × 161,421.40
  4. Step 4: Simplify right side
    295,557.40x = 65,840,395,982.17
  5. Step 5: Solve for x
    x = 65,840,395,982.17/295,557.40
  6. Step 6: Final answer
    x = 222,766.87

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1.5x scale

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.