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Finding the Fourth Proportional to 299,995, 450,016.40 and 100,316.64

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Solution

The fourth proportional to 299,995, 450,016.40 and 100,316.64 is: 150,482.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,995 : 450,016.40 = 100,316.64 : x
  2. Step 2: Convert to fraction form
    299,995/450,016.40 = 100,316.64/x
  3. Step 3: Cross multiply
    299,995x = 450,016.40 × 100,316.64
  4. Step 4: Simplify right side
    299,995x = 45,144,133,192.90
  5. Step 5: Solve for x
    x = 45,144,133,192.90/299,995
  6. Step 6: Final answer
    x = 150,482.95

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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.