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Finding the Fourth Proportional to 400,281.39, 600,463.98 and 130,430.49

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Solution

The fourth proportional to 400,281.39, 600,463.98 and 130,430.49 is: 195,659.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,281.39 : 600,463.98 = 130,430.49 : x
  2. Step 2: Convert to fraction form
    400,281.39/600,463.98 = 130,430.49/x
  3. Step 3: Cross multiply
    400,281.39x = 600,463.98 × 130,430.49
  4. Step 4: Simplify right side
    400,281.39x = 78,318,811,138.75
  5. Step 5: Solve for x
    x = 78,318,811,138.75/400,281.39
  6. Step 6: Final answer
    x = 195,659.39

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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.