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Finding the Fourth Proportional to 613,288.48, 919,868 and 164,054.70

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Solution

The fourth proportional to 613,288.48, 919,868 and 164,054.70 is: 246,064.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,288.48 : 919,868 = 164,054.70 : x
  2. Step 2: Convert to fraction form
    613,288.48/919,868 = 164,054.70/x
  3. Step 3: Cross multiply
    613,288.48x = 919,868 × 164,054.70
  4. Step 4: Simplify right side
    613,288.48x = 150,908,668,779.60
  5. Step 5: Solve for x
    x = 150,908,668,779.60/613,288.48
  6. Step 6: Final answer
    x = 246,064.74

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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.