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Finding the Fourth Proportional to 345,472, 518,208 and 96,160.48

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Solution

The fourth proportional to 345,472, 518,208 and 96,160.48 is: 144,240.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,472 : 518,208 = 96,160.48 : x
  2. Step 2: Convert to fraction form
    345,472/518,208 = 96,160.48/x
  3. Step 3: Cross multiply
    345,472x = 518,208 × 96,160.48
  4. Step 4: Simplify right side
    345,472x = 49,831,130,019.84
  5. Step 5: Solve for x
    x = 49,831,130,019.84/345,472
  6. Step 6: Final answer
    x = 144,240.72

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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.