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Finding the Fourth Proportional to 299,657.20, 449,485.80 and 78,041.20

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Solution

The fourth proportional to 299,657.20, 449,485.80 and 78,041.20 is: 117,061.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,657.20 : 449,485.80 = 78,041.20 : x
  2. Step 2: Convert to fraction form
    299,657.20/449,485.80 = 78,041.20/x
  3. Step 3: Cross multiply
    299,657.20x = 449,485.80 × 78,041.20
  4. Step 4: Simplify right side
    299,657.20x = 35,078,411,214.96
  5. Step 5: Solve for x
    x = 35,078,411,214.96/299,657.20
  6. Step 6: Final answer
    x = 117,061.80

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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.