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Finding the Fourth Proportional to 662,415.40, 994,282.30 and 307,509.80

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Solution

The fourth proportional to 662,415.40, 994,282.30 and 307,509.80 is: 461,570.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,415.40 : 994,282.30 = 307,509.80 : x
  2. Step 2: Convert to fraction form
    662,415.40/994,282.30 = 307,509.80/x
  3. Step 3: Cross multiply
    662,415.40x = 994,282.30 × 307,509.80
  4. Step 4: Simplify right side
    662,415.40x = 305,751,551,216.54
  5. Step 5: Solve for x
    x = 305,751,551,216.54/662,415.40
  6. Step 6: Final answer
    x = 461,570.72

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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.