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Finding the Fourth Proportional to 340,153.92, 510,256.80 and 103,516.80

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Solution

The fourth proportional to 340,153.92, 510,256.80 and 103,516.80 is: 155,283.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,153.92 : 510,256.80 = 103,516.80 : x
  2. Step 2: Convert to fraction form
    340,153.92/510,256.80 = 103,516.80/x
  3. Step 3: Cross multiply
    340,153.92x = 510,256.80 × 103,516.80
  4. Step 4: Simplify right side
    340,153.92x = 52,820,151,114.24
  5. Step 5: Solve for x
    x = 52,820,151,114.24/340,153.92
  6. Step 6: Final answer
    x = 155,283.09

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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.