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Finding the Fourth Proportional to 646,952.96, 892,783.22 and 360,466.86

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Solution

The fourth proportional to 646,952.96, 892,783.22 and 360,466.86 is: 497,437.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,952.96 : 892,783.22 = 360,466.86 : x
  2. Step 2: Convert to fraction form
    646,952.96/892,783.22 = 360,466.86/x
  3. Step 3: Cross multiply
    646,952.96x = 892,783.22 × 360,466.86
  4. Step 4: Simplify right side
    646,952.96x = 321,818,763,974.09
  5. Step 5: Solve for x
    x = 321,818,763,974.09/646,952.96
  6. Step 6: Final answer
    x = 497,437.66

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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.