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Finding the Fourth Proportional to 647,548.80, 971,323.20 and 505,831.20

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Solution

The fourth proportional to 647,548.80, 971,323.20 and 505,831.20 is: 758,746.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,548.80 : 971,323.20 = 505,831.20 : x
  2. Step 2: Convert to fraction form
    647,548.80/971,323.20 = 505,831.20/x
  3. Step 3: Cross multiply
    647,548.80x = 971,323.20 × 505,831.20
  4. Step 4: Simplify right side
    647,548.80x = 491,325,579,843.84
  5. Step 5: Solve for x
    x = 491,325,579,843.84/647,548.80
  6. Step 6: Final answer
    x = 758,746.80

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.