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Finding the Fourth Proportional to 312,803.36, 469,133.12 and 186,479.36

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Solution

The fourth proportional to 312,803.36, 469,133.12 and 186,479.36 is: 279,676.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,803.36 : 469,133.12 = 186,479.36 : x
  2. Step 2: Convert to fraction form
    312,803.36/469,133.12 = 186,479.36/x
  3. Step 3: Cross multiply
    312,803.36x = 469,133.12 × 186,479.36
  4. Step 4: Simplify right side
    312,803.36x = 87,483,643,972.40
  5. Step 5: Solve for x
    x = 87,483,643,972.40/312,803.36
  6. Step 6: Final answer
    x = 279,676.16

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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.