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Finding the Fourth Proportional to 345,733, 518,686.98 and 96,415

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Solution

The fourth proportional to 345,733, 518,686.98 and 96,415 is: 144,646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,733 : 518,686.98 = 96,415 : x
  2. Step 2: Convert to fraction form
    345,733/518,686.98 = 96,415/x
  3. Step 3: Cross multiply
    345,733x = 518,686.98 × 96,415
  4. Step 4: Simplify right side
    345,733x = 50,009,205,176.70
  5. Step 5: Solve for x
    x = 50,009,205,176.70/345,733
  6. Step 6: Final answer
    x = 144,646.90

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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.