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Finding the Fourth Proportional to 286,505.06, 429,757.59 and 108,971.06

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Solution

The fourth proportional to 286,505.06, 429,757.59 and 108,971.06 is: 163,456.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,505.06 : 429,757.59 = 108,971.06 : x
  2. Step 2: Convert to fraction form
    286,505.06/429,757.59 = 108,971.06/x
  3. Step 3: Cross multiply
    286,505.06x = 429,757.59 × 108,971.06
  4. Step 4: Simplify right side
    286,505.06x = 46,831,140,125.35
  5. Step 5: Solve for x
    x = 46,831,140,125.35/286,505.06
  6. Step 6: Final answer
    x = 163,456.59

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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.