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Finding the Fourth Proportional to 309,711.40, 464,523.36 and 99,322.00

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Solution

The fourth proportional to 309,711.40, 464,523.36 and 99,322.00 is: 148,968.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,711.40 : 464,523.36 = 99,322.00 : x
  2. Step 2: Convert to fraction form
    309,711.40/464,523.36 = 99,322.00/x
  3. Step 3: Cross multiply
    309,711.40x = 464,523.36 × 99,322.00
  4. Step 4: Simplify right side
    309,711.40x = 46,137,387,628.15
  5. Step 5: Solve for x
    x = 46,137,387,628.15/309,711.40
  6. Step 6: Final answer
    x = 148,968.97

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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.