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Finding the Fourth Proportional to 345,716, 518,661.48 and 96,398

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Solution

The fourth proportional to 345,716, 518,661.48 and 96,398 is: 144,621.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,716 : 518,661.48 = 96,398 : x
  2. Step 2: Convert to fraction form
    345,716/518,661.48 = 96,398/x
  3. Step 3: Cross multiply
    345,716x = 518,661.48 × 96,398
  4. Step 4: Simplify right side
    345,716x = 49,997,929,349.04
  5. Step 5: Solve for x
    x = 49,997,929,349.04/345,716
  6. Step 6: Final answer
    x = 144,621.39

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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.