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Finding the Fourth Proportional to 345,628, 518,646.12 and 145,935.46

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Solution

The fourth proportional to 345,628, 518,646.12 and 145,935.46 is: 218,989.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,628 : 518,646.12 = 145,935.46 : x
  2. Step 2: Convert to fraction form
    345,628/518,646.12 = 145,935.46/x
  3. Step 3: Cross multiply
    345,628x = 518,646.12 × 145,935.46
  4. Step 4: Simplify right side
    345,628x = 75,688,860,099.42
  5. Step 5: Solve for x
    x = 75,688,860,099.42/345,628
  6. Step 6: Final answer
    x = 218,989.38

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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.