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Finding the Fourth Proportional to 340,024.80, 510,056.40 and 103,375.20

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Solution

The fourth proportional to 340,024.80, 510,056.40 and 103,375.20 is: 155,068.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,024.80 : 510,056.40 = 103,375.20 : x
  2. Step 2: Convert to fraction form
    340,024.80/510,056.40 = 103,375.20/x
  3. Step 3: Cross multiply
    340,024.80x = 510,056.40 × 103,375.20
  4. Step 4: Simplify right side
    340,024.80x = 52,727,182,361.28
  5. Step 5: Solve for x
    x = 52,727,182,361.28/340,024.80
  6. Step 6: Final answer
    x = 155,068.64

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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.