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Finding the Fourth Proportional to 400,878.68, 601,317.60 and 164,221.76

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Solution

The fourth proportional to 400,878.68, 601,317.60 and 164,221.76 is: 246,332.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,878.68 : 601,317.60 = 164,221.76 : x
  2. Step 2: Convert to fraction form
    400,878.68/601,317.60 = 164,221.76/x
  3. Step 3: Cross multiply
    400,878.68x = 601,317.60 × 164,221.76
  4. Step 4: Simplify right side
    400,878.68x = 98,749,434,590.98
  5. Step 5: Solve for x
    x = 98,749,434,590.98/400,878.68
  6. Step 6: Final answer
    x = 246,332.47

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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.