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Finding the Fourth Proportional to 286,893.90, 429,356.70 and 263,274.30

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Solution

The fourth proportional to 286,893.90, 429,356.70 and 263,274.30 is: 394,008.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,893.90 : 429,356.70 = 263,274.30 : x
  2. Step 2: Convert to fraction form
    286,893.90/429,356.70 = 263,274.30/x
  3. Step 3: Cross multiply
    286,893.90x = 429,356.70 × 263,274.30
  4. Step 4: Simplify right side
    286,893.90x = 113,038,584,642.81
  5. Step 5: Solve for x
    x = 113,038,584,642.81/286,893.90
  6. Step 6: Final answer
    x = 394,008.32

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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.