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Finding the Fourth Proportional to 389,615.40, 584,423.10 and 223,727.40

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Solution

The fourth proportional to 389,615.40, 584,423.10 and 223,727.40 is: 335,591.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,615.40 : 584,423.10 = 223,727.40 : x
  2. Step 2: Convert to fraction form
    389,615.40/584,423.10 = 223,727.40/x
  3. Step 3: Cross multiply
    389,615.40x = 584,423.10 × 223,727.40
  4. Step 4: Simplify right side
    389,615.40x = 130,751,460,662.94
  5. Step 5: Solve for x
    x = 130,751,460,662.94/389,615.40
  6. Step 6: Final answer
    x = 335,591.10

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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.