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Finding the Fourth Proportional to 646,704.68, 892,479.54 and 360,224.36

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Solution

The fourth proportional to 646,704.68, 892,479.54 and 360,224.36 is: 497,124.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,704.68 : 892,479.54 = 360,224.36 : x
  2. Step 2: Convert to fraction form
    646,704.68/892,479.54 = 360,224.36/x
  3. Step 3: Cross multiply
    646,704.68x = 892,479.54 × 360,224.36
  4. Step 4: Simplify right side
    646,704.68x = 321,492,871,109.59
  5. Step 5: Solve for x
    x = 321,492,871,109.59/646,704.68
  6. Step 6: Final answer
    x = 497,124.70

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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.