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Finding the Fourth Proportional to 300,060, 450,094.32 and 78,444

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Solution

The fourth proportional to 300,060, 450,094.32 and 78,444 is: 117,667.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,060 : 450,094.32 = 78,444 : x
  2. Step 2: Convert to fraction form
    300,060/450,094.32 = 78,444/x
  3. Step 3: Cross multiply
    300,060x = 450,094.32 × 78,444
  4. Step 4: Simplify right side
    300,060x = 35,307,198,838.08
  5. Step 5: Solve for x
    x = 35,307,198,838.08/300,060
  6. Step 6: Final answer
    x = 117,667.13

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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.