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Finding the Fourth Proportional to 601,929.76, 830,662.87 and 329,991.82

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Solution

The fourth proportional to 601,929.76, 830,662.87 and 329,991.82 is: 455,388.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,929.76 : 830,662.87 = 329,991.82 : x
  2. Step 2: Convert to fraction form
    601,929.76/830,662.87 = 329,991.82/x
  3. Step 3: Cross multiply
    601,929.76x = 830,662.87 × 329,991.82
  4. Step 4: Simplify right side
    601,929.76x = 274,111,954,354.38
  5. Step 5: Solve for x
    x = 274,111,954,354.38/601,929.76
  6. Step 6: Final answer
    x = 455,388.60

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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.