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Finding the Fourth Proportional to 670,652.40, 1,005,978.89 and 165,223.22

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Solution

The fourth proportional to 670,652.40, 1,005,978.89 and 165,223.22 is: 247,834.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,652.40 : 1,005,978.89 = 165,223.22 : x
  2. Step 2: Convert to fraction form
    670,652.40/1,005,978.89 = 165,223.22/x
  3. Step 3: Cross multiply
    670,652.40x = 1,005,978.89 × 165,223.22
  4. Step 4: Simplify right side
    670,652.40x = 166,211,065,601.82
  5. Step 5: Solve for x
    x = 166,211,065,601.82/670,652.40
  6. Step 6: Final answer
    x = 247,834.89

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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.