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Finding the Fourth Proportional to 665,187.60, 997,866.16 and 305,271.12

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Solution

The fourth proportional to 665,187.60, 997,866.16 and 305,271.12 is: 457,945.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,187.60 : 997,866.16 = 305,271.12 : x
  2. Step 2: Convert to fraction form
    665,187.60/997,866.16 = 305,271.12/x
  3. Step 3: Cross multiply
    665,187.60x = 997,866.16 × 305,271.12
  4. Step 4: Simplify right side
    665,187.60x = 304,619,720,273.30
  5. Step 5: Solve for x
    x = 304,619,720,273.30/665,187.60
  6. Step 6: Final answer
    x = 457,945.58

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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.