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Finding the Fourth Proportional to 340,284.30, 510,426.44 and 103,627

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Solution

The fourth proportional to 340,284.30, 510,426.44 and 103,627 is: 155,440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,284.30 : 510,426.44 = 103,627 : x
  2. Step 2: Convert to fraction form
    340,284.30/510,426.44 = 103,627/x
  3. Step 3: Cross multiply
    340,284.30x = 510,426.44 × 103,627
  4. Step 4: Simplify right side
    340,284.30x = 52,893,960,697.88
  5. Step 5: Solve for x
    x = 52,893,960,697.88/340,284.30
  6. Step 6: Final answer
    x = 155,440.50

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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.