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Finding the Fourth Proportional to 524,755.20, 786,938.40 and 169,780.80

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Solution

The fourth proportional to 524,755.20, 786,938.40 and 169,780.80 is: 254,608.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,755.20 : 786,938.40 = 169,780.80 : x
  2. Step 2: Convert to fraction form
    524,755.20/786,938.40 = 169,780.80/x
  3. Step 3: Cross multiply
    524,755.20x = 786,938.40 × 169,780.80
  4. Step 4: Simplify right side
    524,755.20x = 133,607,031,102.72
  5. Step 5: Solve for x
    x = 133,607,031,102.72/524,755.20
  6. Step 6: Final answer
    x = 254,608.30

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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.