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Finding the Fourth Proportional to 345,734, 518,688.48 and 96,416

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Solution

The fourth proportional to 345,734, 518,688.48 and 96,416 is: 144,648.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,734 : 518,688.48 = 96,416 : x
  2. Step 2: Convert to fraction form
    345,734/518,688.48 = 96,416/x
  3. Step 3: Cross multiply
    345,734x = 518,688.48 × 96,416
  4. Step 4: Simplify right side
    345,734x = 50,009,868,487.68
  5. Step 5: Solve for x
    x = 50,009,868,487.68/345,734
  6. Step 6: Final answer
    x = 144,648.40

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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.