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Finding the Fourth Proportional to 530,978.40, 732,755.20 and 301,540.44

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Solution

The fourth proportional to 530,978.40, 732,755.20 and 301,540.44 is: 416,128.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,978.40 : 732,755.20 = 301,540.44 : x
  2. Step 2: Convert to fraction form
    530,978.40/732,755.20 = 301,540.44/x
  3. Step 3: Cross multiply
    530,978.40x = 732,755.20 × 301,540.44
  4. Step 4: Simplify right side
    530,978.40x = 220,955,325,420.29
  5. Step 5: Solve for x
    x = 220,955,325,420.29/530,978.40
  6. Step 6: Final answer
    x = 416,128.65

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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.