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Finding the Fourth Proportional to 646,521.16, 892,207.94 and 360,048.46

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Solution

The fourth proportional to 646,521.16, 892,207.94 and 360,048.46 is: 496,871.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,521.16 : 892,207.94 = 360,048.46 : x
  2. Step 2: Convert to fraction form
    646,521.16/892,207.94 = 360,048.46/x
  3. Step 3: Cross multiply
    646,521.16x = 892,207.94 × 360,048.46
  4. Step 4: Simplify right side
    646,521.16x = 321,238,094,796.77
  5. Step 5: Solve for x
    x = 321,238,094,796.77/646,521.16
  6. Step 6: Final answer
    x = 496,871.74

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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.