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Finding the Fourth Proportional to 340,014.68, 510,080.36 and 103,381.28

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Solution

The fourth proportional to 340,014.68, 510,080.36 and 103,381.28 is: 155,089.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,014.68 : 510,080.36 = 103,381.28 : x
  2. Step 2: Convert to fraction form
    340,014.68/510,080.36 = 103,381.28/x
  3. Step 3: Cross multiply
    340,014.68x = 510,080.36 × 103,381.28
  4. Step 4: Simplify right side
    340,014.68x = 52,732,760,519.66
  5. Step 5: Solve for x
    x = 52,732,760,519.66/340,014.68
  6. Step 6: Final answer
    x = 155,089.66

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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.