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Finding the Fourth Proportional to 261,817.30, 393,317.14 and 155,271.14

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Solution

The fourth proportional to 261,817.30, 393,317.14 and 155,271.14 is: 233,257.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,817.30 : 393,317.14 = 155,271.14 : x
  2. Step 2: Convert to fraction form
    261,817.30/393,317.14 = 155,271.14/x
  3. Step 3: Cross multiply
    261,817.30x = 393,317.14 × 155,271.14
  4. Step 4: Simplify right side
    261,817.30x = 61,070,801,304.45
  5. Step 5: Solve for x
    x = 61,070,801,304.45/261,817.30
  6. Step 6: Final answer
    x = 233,257.32

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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.