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Finding the Fourth Proportional to 427,221.40, 640,659.30 and 146,594.20

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Solution

The fourth proportional to 427,221.40, 640,659.30 and 146,594.20 is: 219,832.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,221.40 : 640,659.30 = 146,594.20 : x
  2. Step 2: Convert to fraction form
    427,221.40/640,659.30 = 146,594.20/x
  3. Step 3: Cross multiply
    427,221.40x = 640,659.30 × 146,594.20
  4. Step 4: Simplify right side
    427,221.40x = 93,916,937,556.06
  5. Step 5: Solve for x
    x = 93,916,937,556.06/427,221.40
  6. Step 6: Final answer
    x = 219,832.01

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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.