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Finding the Fourth Proportional to 201,794.34, 278,509.41 and 153,957.30

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Solution

The fourth proportional to 201,794.34, 278,509.41 and 153,957.30 is: 212,486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,794.34 : 278,509.41 = 153,957.30 : x
  2. Step 2: Convert to fraction form
    201,794.34/278,509.41 = 153,957.30/x
  3. Step 3: Cross multiply
    201,794.34x = 278,509.41 × 153,957.30
  4. Step 4: Simplify right side
    201,794.34x = 42,878,556,788.19
  5. Step 5: Solve for x
    x = 42,878,556,788.19/201,794.34
  6. Step 6: Final answer
    x = 212,486.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.