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Finding the Fourth Proportional to 646,560, 892,188.90 and 360,106.74

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Solution

The fourth proportional to 646,560, 892,188.90 and 360,106.74 is: 496,911.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,560 : 892,188.90 = 360,106.74 : x
  2. Step 2: Convert to fraction form
    646,560/892,188.90 = 360,106.74/x
  3. Step 3: Cross multiply
    646,560x = 892,188.90 × 360,106.74
  4. Step 4: Simplify right side
    646,560x = 321,283,236,243.19
  5. Step 5: Solve for x
    x = 321,283,236,243.19/646,560
  6. Step 6: Final answer
    x = 496,911.71

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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.