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Finding the Fourth Proportional to 284,802.58, 427,116.38 and 134,998.55

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Solution

The fourth proportional to 284,802.58, 427,116.38 and 134,998.55 is: 202,456.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,802.58 : 427,116.38 = 134,998.55 : x
  2. Step 2: Convert to fraction form
    284,802.58/427,116.38 = 134,998.55/x
  3. Step 3: Cross multiply
    284,802.58x = 427,116.38 × 134,998.55
  4. Step 4: Simplify right side
    284,802.58x = 57,660,089,845.67
  5. Step 5: Solve for x
    x = 57,660,089,845.67/284,802.58
  6. Step 6: Final answer
    x = 202,456.35

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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.