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Finding the Fourth Proportional to 512,040.80, 767,024.40 and 354,447.20

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Solution

The fourth proportional to 512,040.80, 767,024.40 and 354,447.20 is: 530,953.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,040.80 : 767,024.40 = 354,447.20 : x
  2. Step 2: Convert to fraction form
    512,040.80/767,024.40 = 354,447.20/x
  3. Step 3: Cross multiply
    512,040.80x = 767,024.40 × 354,447.20
  4. Step 4: Simplify right side
    512,040.80x = 271,869,650,911.68
  5. Step 5: Solve for x
    x = 271,869,650,911.68/512,040.80
  6. Step 6: Final answer
    x = 530,953.10

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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.