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Finding the Fourth Proportional to 601,909.36, 830,629.61 and 329,972.31

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Solution

The fourth proportional to 601,909.36, 830,629.61 and 329,972.31 is: 455,358.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,909.36 : 830,629.61 = 329,972.31 : x
  2. Step 2: Convert to fraction form
    601,909.36/830,629.61 = 329,972.31/x
  3. Step 3: Cross multiply
    601,909.36x = 830,629.61 × 329,972.31
  4. Step 4: Simplify right side
    601,909.36x = 274,084,771,166.10
  5. Step 5: Solve for x
    x = 274,084,771,166.10/601,909.36
  6. Step 6: Final answer
    x = 455,358.88

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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.