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Finding the Fourth Proportional to 282,722.22, 390,146.76 and 155,397

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Solution

The fourth proportional to 282,722.22, 390,146.76 and 155,397 is: 214,442.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,722.22 : 390,146.76 = 155,397 : x
  2. Step 2: Convert to fraction form
    282,722.22/390,146.76 = 155,397/x
  3. Step 3: Cross multiply
    282,722.22x = 390,146.76 × 155,397
  4. Step 4: Simplify right side
    282,722.22x = 60,627,636,063.72
  5. Step 5: Solve for x
    x = 60,627,636,063.72/282,722.22
  6. Step 6: Final answer
    x = 214,442.42

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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.