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Finding the Fourth Proportional to 286,762.90, 429,303.20 and 201,076.64

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Solution

The fourth proportional to 286,762.90, 429,303.20 and 201,076.64 is: 301,025.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,762.90 : 429,303.20 = 201,076.64 : x
  2. Step 2: Convert to fraction form
    286,762.90/429,303.20 = 201,076.64/x
  3. Step 3: Cross multiply
    286,762.90x = 429,303.20 × 201,076.64
  4. Step 4: Simplify right side
    286,762.90x = 86,322,844,997.25
  5. Step 5: Solve for x
    x = 86,322,844,997.25/286,762.90
  6. Step 6: Final answer
    x = 301,025.15

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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.