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Finding the Fourth Proportional to 255,081.30, 382,293.90 and 155,135.40

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Solution

The fourth proportional to 255,081.30, 382,293.90 and 155,135.40 is: 232,503.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,081.30 : 382,293.90 = 155,135.40 : x
  2. Step 2: Convert to fraction form
    255,081.30/382,293.90 = 155,135.40/x
  3. Step 3: Cross multiply
    255,081.30x = 382,293.90 × 155,135.40
  4. Step 4: Simplify right side
    255,081.30x = 59,307,317,094.06
  5. Step 5: Solve for x
    x = 59,307,317,094.06/255,081.30
  6. Step 6: Final answer
    x = 232,503.59

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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.