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Finding the Fourth Proportional to 282,885.54, 390,384.82 and 155,562

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Solution

The fourth proportional to 282,885.54, 390,384.82 and 155,562 is: 214,677.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,885.54 : 390,384.82 = 155,562 : x
  2. Step 2: Convert to fraction form
    282,885.54/390,384.82 = 155,562/x
  3. Step 3: Cross multiply
    282,885.54x = 390,384.82 × 155,562
  4. Step 4: Simplify right side
    282,885.54x = 60,729,043,368.84
  5. Step 5: Solve for x
    x = 60,729,043,368.84/282,885.54
  6. Step 6: Final answer
    x = 214,677.09

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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.