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Finding the Fourth Proportional to 330,642.69, 456,336.72 and 201,656.00

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Solution

The fourth proportional to 330,642.69, 456,336.72 and 201,656.00 is: 278,315.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,642.69 : 456,336.72 = 201,656.00 : x
  2. Step 2: Convert to fraction form
    330,642.69/456,336.72 = 201,656.00/x
  3. Step 3: Cross multiply
    330,642.69x = 456,336.72 × 201,656.00
  4. Step 4: Simplify right side
    330,642.69x = 92,023,035,326.64
  5. Step 5: Solve for x
    x = 92,023,035,326.64/330,642.69
  6. Step 6: Final answer
    x = 278,315.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.