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Finding the Fourth Proportional to 340,283.16, 510,348.20 and 100,345.56

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Solution

The fourth proportional to 340,283.16, 510,348.20 and 100,345.56 is: 150,495.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,283.16 : 510,348.20 = 100,345.56 : x
  2. Step 2: Convert to fraction form
    340,283.16/510,348.20 = 100,345.56/x
  3. Step 3: Cross multiply
    340,283.16x = 510,348.20 × 100,345.56
  4. Step 4: Simplify right side
    340,283.16x = 51,211,175,422.26
  5. Step 5: Solve for x
    x = 51,211,175,422.26/340,283.16
  6. Step 6: Final answer
    x = 150,495.77

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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.