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Finding the Fourth Proportional to 512,024.96, 706,634.52 and 282,627.80

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Solution

The fourth proportional to 512,024.96, 706,634.52 and 282,627.80 is: 390,048.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,024.96 : 706,634.52 = 282,627.80 : x
  2. Step 2: Convert to fraction form
    512,024.96/706,634.52 = 282,627.80/x
  3. Step 3: Cross multiply
    512,024.96x = 706,634.52 × 282,627.80
  4. Step 4: Simplify right side
    512,024.96x = 199,714,559,791.66
  5. Step 5: Solve for x
    x = 199,714,559,791.66/512,024.96
  6. Step 6: Final answer
    x = 390,048.48

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1.5x scale

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.