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Finding the Fourth Proportional to 401,456.80, 601,659.60 and 202,002.40

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Solution

The fourth proportional to 401,456.80, 601,659.60 and 202,002.40 is: 302,739.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,456.80 : 601,659.60 = 202,002.40 : x
  2. Step 2: Convert to fraction form
    401,456.80/601,659.60 = 202,002.40/x
  3. Step 3: Cross multiply
    401,456.80x = 601,659.60 × 202,002.40
  4. Step 4: Simplify right side
    401,456.80x = 121,536,683,183.04
  5. Step 5: Solve for x
    x = 121,536,683,183.04/401,456.80
  6. Step 6: Final answer
    x = 302,739.13

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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.