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Finding the Fourth Proportional to 340,328, 510,725.76 and 118,712

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Solution

The fourth proportional to 340,328, 510,725.76 and 118,712 is: 178,149.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,328 : 510,725.76 = 118,712 : x
  2. Step 2: Convert to fraction form
    340,328/510,725.76 = 118,712/x
  3. Step 3: Cross multiply
    340,328x = 510,725.76 × 118,712
  4. Step 4: Simplify right side
    340,328x = 60,629,276,421.12
  5. Step 5: Solve for x
    x = 60,629,276,421.12/340,328
  6. Step 6: Final answer
    x = 178,149.54

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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.