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Finding the Fourth Proportional to 646,708.12, 892,472.82 and 360,232.88

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Solution

The fourth proportional to 646,708.12, 892,472.82 and 360,232.88 is: 497,130.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,708.12 : 892,472.82 = 360,232.88 : x
  2. Step 2: Convert to fraction form
    646,708.12/892,472.82 = 360,232.88/x
  3. Step 3: Cross multiply
    646,708.12x = 892,472.82 × 360,232.88
  4. Step 4: Simplify right side
    646,708.12x = 321,498,054,270.32
  5. Step 5: Solve for x
    x = 321,498,054,270.32/646,708.12
  6. Step 6: Final answer
    x = 497,130.07

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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.