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Finding the Fourth Proportional to 513,024.80, 768,662.40 and 423,795.20

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Solution

The fourth proportional to 513,024.80, 768,662.40 and 423,795.20 is: 634,970.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,024.80 : 768,662.40 = 423,795.20 : x
  2. Step 2: Convert to fraction form
    513,024.80/768,662.40 = 423,795.20/x
  3. Step 3: Cross multiply
    513,024.80x = 768,662.40 × 423,795.20
  4. Step 4: Simplify right side
    513,024.80x = 325,755,435,540.48
  5. Step 5: Solve for x
    x = 325,755,435,540.48/513,024.80
  6. Step 6: Final answer
    x = 634,970.15

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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.