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Finding the Fourth Proportional to 286,796.51, 429,807.22 and 109,206.64

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Solution

The fourth proportional to 286,796.51, 429,807.22 and 109,206.64 is: 163,662.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,796.51 : 429,807.22 = 109,206.64 : x
  2. Step 2: Convert to fraction form
    286,796.51/429,807.22 = 109,206.64/x
  3. Step 3: Cross multiply
    286,796.51x = 429,807.22 × 109,206.64
  4. Step 4: Simplify right side
    286,796.51x = 46,937,802,343.94
  5. Step 5: Solve for x
    x = 46,937,802,343.94/286,796.51
  6. Step 6: Final answer
    x = 163,662.39

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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.