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Finding the Fourth Proportional to 309,364.84, 464,071.74 and 99,002.80

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Solution

The fourth proportional to 309,364.84, 464,071.74 and 99,002.80 is: 148,512.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,364.84 : 464,071.74 = 99,002.80 : x
  2. Step 2: Convert to fraction form
    309,364.84/464,071.74 = 99,002.80/x
  3. Step 3: Cross multiply
    309,364.84x = 464,071.74 × 99,002.80
  4. Step 4: Simplify right side
    309,364.84x = 45,944,401,660.87
  5. Step 5: Solve for x
    x = 45,944,401,660.87/309,364.84
  6. Step 6: Final answer
    x = 148,512.03

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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.