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Finding the Fourth Proportional to 385,744.02, 578,616.12 and 186,027.18

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Solution

The fourth proportional to 385,744.02, 578,616.12 and 186,027.18 is: 279,040.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,744.02 : 578,616.12 = 186,027.18 : x
  2. Step 2: Convert to fraction form
    385,744.02/578,616.12 = 186,027.18/x
  3. Step 3: Cross multiply
    385,744.02x = 578,616.12 × 186,027.18
  4. Step 4: Simplify right side
    385,744.02x = 107,638,325,106.14
  5. Step 5: Solve for x
    x = 107,638,325,106.14/385,744.02
  6. Step 6: Final answer
    x = 279,040.81

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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.