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Finding the Fourth Proportional to 286,798.52, 429,810.22 and 109,208.64

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Solution

The fourth proportional to 286,798.52, 429,810.22 and 109,208.64 is: 163,665.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,798.52 : 429,810.22 = 109,208.64 : x
  2. Step 2: Convert to fraction form
    286,798.52/429,810.22 = 109,208.64/x
  3. Step 3: Cross multiply
    286,798.52x = 429,810.22 × 109,208.64
  4. Step 4: Simplify right side
    286,798.52x = 46,938,989,584.30
  5. Step 5: Solve for x
    x = 46,938,989,584.30/286,798.52
  6. Step 6: Final answer
    x = 163,665.38

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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.