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Finding the Fourth Proportional to 646,166.32, 891,735.72 and 359,668.24

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Solution

The fourth proportional to 646,166.32, 891,735.72 and 359,668.24 is: 496,356.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,166.32 : 891,735.72 = 359,668.24 : x
  2. Step 2: Convert to fraction form
    646,166.32/891,735.72 = 359,668.24/x
  3. Step 3: Cross multiply
    646,166.32x = 891,735.72 × 359,668.24
  4. Step 4: Simplify right side
    646,166.32x = 320,729,016,957.53
  5. Step 5: Solve for x
    x = 320,729,016,957.53/646,166.32
  6. Step 6: Final answer
    x = 496,356.75

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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.