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Finding the Fourth Proportional to 286,990.86, 429,987.60 and 201,420.30

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Solution

The fourth proportional to 286,990.86, 429,987.60 and 201,420.30 is: 301,780.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,990.86 : 429,987.60 = 201,420.30 : x
  2. Step 2: Convert to fraction form
    286,990.86/429,987.60 = 201,420.30/x
  3. Step 3: Cross multiply
    286,990.86x = 429,987.60 × 201,420.30
  4. Step 4: Simplify right side
    286,990.86x = 86,608,231,388.28
  5. Step 5: Solve for x
    x = 86,608,231,388.28/286,990.86
  6. Step 6: Final answer
    x = 301,780.45

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1.5x scale

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.