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Finding the Fourth Proportional to 701,141, 1,051,290.54 and 321,586.28

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Solution

The fourth proportional to 701,141, 1,051,290.54 and 321,586.28 is: 482,186.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,141 : 1,051,290.54 = 321,586.28 : x
  2. Step 2: Convert to fraction form
    701,141/1,051,290.54 = 321,586.28/x
  3. Step 3: Cross multiply
    701,141x = 1,051,290.54 × 321,586.28
  4. Step 4: Simplify right side
    701,141x = 338,080,613,957.79
  5. Step 5: Solve for x
    x = 338,080,613,957.79/701,141
  6. Step 6: Final answer
    x = 482,186.34

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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.