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Finding the Fourth Proportional to 655,839.81, 983,897.96 and 212,573.25

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Solution

The fourth proportional to 655,839.81, 983,897.96 and 212,573.25 is: 318,904.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,839.81 : 983,897.96 = 212,573.25 : x
  2. Step 2: Convert to fraction form
    655,839.81/983,897.96 = 212,573.25/x
  3. Step 3: Cross multiply
    655,839.81x = 983,897.96 × 212,573.25
  4. Step 4: Simplify right side
    655,839.81x = 209,150,385,962.70
  5. Step 5: Solve for x
    x = 209,150,385,962.70/655,839.81
  6. Step 6: Final answer
    x = 318,904.68

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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.