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Finding the Fourth Proportional to 235,915.40, 353,642.70 and 211,032.20

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Solution

The fourth proportional to 235,915.40, 353,642.70 and 211,032.20 is: 316,342.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,915.40 : 353,642.70 = 211,032.20 : x
  2. Step 2: Convert to fraction form
    235,915.40/353,642.70 = 211,032.20/x
  3. Step 3: Cross multiply
    235,915.40x = 353,642.70 × 211,032.20
  4. Step 4: Simplify right side
    235,915.40x = 74,629,996,994.94
  5. Step 5: Solve for x
    x = 74,629,996,994.94/235,915.40
  6. Step 6: Final answer
    x = 316,342.20

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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.