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Finding the Fourth Proportional to 407,000.80, 610,501.20 and 328,268.80

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Solution

The fourth proportional to 407,000.80, 610,501.20 and 328,268.80 is: 492,403.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,000.80 : 610,501.20 = 328,268.80 : x
  2. Step 2: Convert to fraction form
    407,000.80/610,501.20 = 328,268.80/x
  3. Step 3: Cross multiply
    407,000.80x = 610,501.20 × 328,268.80
  4. Step 4: Simplify right side
    407,000.80x = 200,408,496,322.56
  5. Step 5: Solve for x
    x = 200,408,496,322.56/407,000.80
  6. Step 6: Final answer
    x = 492,403.20

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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.