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Finding the Fourth Proportional to 491,889.81, 736,168.20 and 302,470.16

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Solution

The fourth proportional to 491,889.81, 736,168.20 and 302,470.16 is: 452,680.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,889.81 : 736,168.20 = 302,470.16 : x
  2. Step 2: Convert to fraction form
    491,889.81/736,168.20 = 302,470.16/x
  3. Step 3: Cross multiply
    491,889.81x = 736,168.20 × 302,470.16
  4. Step 4: Simplify right side
    491,889.81x = 222,668,909,560.07
  5. Step 5: Solve for x
    x = 222,668,909,560.07/491,889.81
  6. Step 6: Final answer
    x = 452,680.47

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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.