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Finding the Fourth Proportional to 464,709.12, 640,786.34 and 321,220.06

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Solution

The fourth proportional to 464,709.12, 640,786.34 and 321,220.06 is: 442,929.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,709.12 : 640,786.34 = 321,220.06 : x
  2. Step 2: Convert to fraction form
    464,709.12/640,786.34 = 321,220.06/x
  3. Step 3: Cross multiply
    464,709.12x = 640,786.34 × 321,220.06
  4. Step 4: Simplify right side
    464,709.12x = 205,833,426,581.98
  5. Step 5: Solve for x
    x = 205,833,426,581.98/464,709.12
  6. Step 6: Final answer
    x = 442,929.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.