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Finding the Fourth Proportional to 545,056.32, 817,693.83 and 189,975

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Solution

The fourth proportional to 545,056.32, 817,693.83 and 189,975 is: 285,000.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,056.32 : 817,693.83 = 189,975 : x
  2. Step 2: Convert to fraction form
    545,056.32/817,693.83 = 189,975/x
  3. Step 3: Cross multiply
    545,056.32x = 817,693.83 × 189,975
  4. Step 4: Simplify right side
    545,056.32x = 155,341,385,354.25
  5. Step 5: Solve for x
    x = 155,341,385,354.25/545,056.32
  6. Step 6: Final answer
    x = 285,000.61

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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.