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Finding the Fourth Proportional to 340,279.14, 510,494.64 and 103,640.08

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Solution

The fourth proportional to 340,279.14, 510,494.64 and 103,640.08 is: 155,483.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,279.14 : 510,494.64 = 103,640.08 : x
  2. Step 2: Convert to fraction form
    340,279.14/510,494.64 = 103,640.08/x
  3. Step 3: Cross multiply
    340,279.14x = 510,494.64 × 103,640.08
  4. Step 4: Simplify right side
    340,279.14x = 52,907,705,329.17
  5. Step 5: Solve for x
    x = 52,907,705,329.17/340,279.14
  6. Step 6: Final answer
    x = 155,483.25

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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.