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Finding the Fourth Proportional to 545,885.78, 818,828.67 and 213,228.50

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Solution

The fourth proportional to 545,885.78, 818,828.67 and 213,228.50 is: 319,842.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,885.78 : 818,828.67 = 213,228.50 : x
  2. Step 2: Convert to fraction form
    545,885.78/818,828.67 = 213,228.50/x
  3. Step 3: Cross multiply
    545,885.78x = 818,828.67 × 213,228.50
  4. Step 4: Simplify right side
    545,885.78x = 174,597,609,061.10
  5. Step 5: Solve for x
    x = 174,597,609,061.10/545,885.78
  6. Step 6: Final answer
    x = 319,842.75

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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.