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Finding the Fourth Proportional to 496,840.80, 744,386.40 and 407,611.20

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Solution

The fourth proportional to 496,840.80, 744,386.40 and 407,611.20 is: 610,699.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,840.80 : 744,386.40 = 407,611.20 : x
  2. Step 2: Convert to fraction form
    496,840.80/744,386.40 = 407,611.20/x
  3. Step 3: Cross multiply
    496,840.80x = 744,386.40 × 407,611.20
  4. Step 4: Simplify right side
    496,840.80x = 303,420,233,767.68
  5. Step 5: Solve for x
    x = 303,420,233,767.68/496,840.80
  6. Step 6: Final answer
    x = 610,699.11

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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.