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Finding the Fourth Proportional to 282,912, 390,418.56 and 155,595.84

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Solution

The fourth proportional to 282,912, 390,418.56 and 155,595.84 is: 214,722.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,912 : 390,418.56 = 155,595.84 : x
  2. Step 2: Convert to fraction form
    282,912/390,418.56 = 155,595.84/x
  3. Step 3: Cross multiply
    282,912x = 390,418.56 × 155,595.84
  4. Step 4: Simplify right side
    282,912x = 60,747,503,794.79
  5. Step 5: Solve for x
    x = 60,747,503,794.79/282,912
  6. Step 6: Final answer
    x = 214,722.26

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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.