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Finding the Fourth Proportional to 340,279.14, 510,494.65 and 103,640.07

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Solution

The fourth proportional to 340,279.14, 510,494.65 and 103,640.07 is: 155,483.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,279.14 : 510,494.65 = 103,640.07 : x
  2. Step 2: Convert to fraction form
    340,279.14/510,494.65 = 103,640.07/x
  3. Step 3: Cross multiply
    340,279.14x = 510,494.65 × 103,640.07
  4. Step 4: Simplify right side
    340,279.14x = 52,907,701,260.63
  5. Step 5: Solve for x
    x = 52,907,701,260.63/340,279.14
  6. Step 6: Final answer
    x = 155,483.23

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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.