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Finding the Fourth Proportional to 285,054.90, 427,409.55 and 142,734.66

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Solution

The fourth proportional to 285,054.90, 427,409.55 and 142,734.66 is: 214,015.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,054.90 : 427,409.55 = 142,734.66 : x
  2. Step 2: Convert to fraction form
    285,054.90/427,409.55 = 142,734.66/x
  3. Step 3: Cross multiply
    285,054.90x = 427,409.55 × 142,734.66
  4. Step 4: Simplify right side
    285,054.90x = 61,006,156,800.00
  5. Step 5: Solve for x
    x = 61,006,156,800.00/285,054.90
  6. Step 6: Final answer
    x = 214,015.46

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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.