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Finding the Fourth Proportional to 646,928, 892,777.92 and 360,460.16

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Solution

The fourth proportional to 646,928, 892,777.92 and 360,460.16 is: 497,444.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,928 : 892,777.92 = 360,460.16 : x
  2. Step 2: Convert to fraction form
    646,928/892,777.92 = 360,460.16/x
  3. Step 3: Cross multiply
    646,928x = 892,777.92 × 360,460.16
  4. Step 4: Simplify right side
    646,928x = 321,810,871,887.67
  5. Step 5: Solve for x
    x = 321,810,871,887.67/646,928
  6. Step 6: Final answer
    x = 497,444.65

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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.