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Finding the Fourth Proportional to 285,215.58, 427,684.92 and 142,999.76

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Solution

The fourth proportional to 285,215.58, 427,684.92 and 142,999.76 is: 214,430.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,215.58 : 427,684.92 = 142,999.76 : x
  2. Step 2: Convert to fraction form
    285,215.58/427,684.92 = 142,999.76/x
  3. Step 3: Cross multiply
    285,215.58x = 427,684.92 × 142,999.76
  4. Step 4: Simplify right side
    285,215.58x = 61,158,840,915.62
  5. Step 5: Solve for x
    x = 61,158,840,915.62/285,215.58
  6. Step 6: Final answer
    x = 214,430.22

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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.