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Finding the Fourth Proportional to 367,345, 551,017.52 and 145,729

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Solution

The fourth proportional to 367,345, 551,017.52 and 145,729 is: 218,593.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,345 : 551,017.52 = 145,729 : x
  2. Step 2: Convert to fraction form
    367,345/551,017.52 = 145,729/x
  3. Step 3: Cross multiply
    367,345x = 551,017.52 × 145,729
  4. Step 4: Simplify right side
    367,345x = 80,299,232,172.08
  5. Step 5: Solve for x
    x = 80,299,232,172.08/367,345
  6. Step 6: Final answer
    x = 218,593.51

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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.