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Finding the Fourth Proportional to 310,115.90, 464,878.56 and 99,606.23

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Solution

The fourth proportional to 310,115.90, 464,878.56 and 99,606.23 is: 149,314.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,115.90 : 464,878.56 = 99,606.23 : x
  2. Step 2: Convert to fraction form
    310,115.90/464,878.56 = 99,606.23/x
  3. Step 3: Cross multiply
    310,115.90x = 464,878.56 × 99,606.23
  4. Step 4: Simplify right side
    310,115.90x = 46,304,800,769.43
  5. Step 5: Solve for x
    x = 46,304,800,769.43/310,115.90
  6. Step 6: Final answer
    x = 149,314.50

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1.5x scale

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.