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Finding the Fourth Proportional to 545,222.16, 817,768.31 and 145,893.78

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Solution

The fourth proportional to 545,222.16, 817,768.31 and 145,893.78 is: 218,823.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,222.16 : 817,768.31 = 145,893.78 : x
  2. Step 2: Convert to fraction form
    545,222.16/817,768.31 = 145,893.78/x
  3. Step 3: Cross multiply
    545,222.16x = 817,768.31 × 145,893.78
  4. Step 4: Simplify right side
    545,222.16x = 119,307,309,180.64
  5. Step 5: Solve for x
    x = 119,307,309,180.64/545,222.16
  6. Step 6: Final answer
    x = 218,823.29

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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.