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Finding the Fourth Proportional to 233,986.60, 349,955.90 and 209,205.80

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Solution

The fourth proportional to 233,986.60, 349,955.90 and 209,205.80 is: 312,893.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,986.60 : 349,955.90 = 209,205.80 : x
  2. Step 2: Convert to fraction form
    233,986.60/349,955.90 = 209,205.80/x
  3. Step 3: Cross multiply
    233,986.60x = 349,955.90 × 209,205.80
  4. Step 4: Simplify right side
    233,986.60x = 73,212,804,024.22
  5. Step 5: Solve for x
    x = 73,212,804,024.22/233,986.60
  6. Step 6: Final answer
    x = 312,893.15

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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.