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Finding the Fourth Proportional to 646,447.28, 892,095 and 359,970.80

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Solution

The fourth proportional to 646,447.28, 892,095 and 359,970.80 is: 496,758.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,447.28 : 892,095 = 359,970.80 : x
  2. Step 2: Convert to fraction form
    646,447.28/892,095 = 359,970.80/x
  3. Step 3: Cross multiply
    646,447.28x = 892,095 × 359,970.80
  4. Step 4: Simplify right side
    646,447.28x = 321,128,150,826
  5. Step 5: Solve for x
    x = 321,128,150,826/646,447.28
  6. Step 6: Final answer
    x = 496,758.45

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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.