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Finding the Fourth Proportional to 282,616.84, 390,020.82 and 155,297

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Solution

The fourth proportional to 282,616.84, 390,020.82 and 155,297 is: 214,315.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,616.84 : 390,020.82 = 155,297 : x
  2. Step 2: Convert to fraction form
    282,616.84/390,020.82 = 155,297/x
  3. Step 3: Cross multiply
    282,616.84x = 390,020.82 × 155,297
  4. Step 4: Simplify right side
    282,616.84x = 60,569,063,283.54
  5. Step 5: Solve for x
    x = 60,569,063,283.54/282,616.84
  6. Step 6: Final answer
    x = 214,315.12

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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.