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Finding the Fourth Proportional to 282,772, 390,234.48 and 155,456.80

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Solution

The fourth proportional to 282,772, 390,234.48 and 155,456.80 is: 214,535.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,772 : 390,234.48 = 155,456.80 : x
  2. Step 2: Convert to fraction form
    282,772/390,234.48 = 155,456.80/x
  3. Step 3: Cross multiply
    282,772x = 390,234.48 × 155,456.80
  4. Step 4: Simplify right side
    282,772x = 60,664,603,510.46
  5. Step 5: Solve for x
    x = 60,664,603,510.46/282,772
  6. Step 6: Final answer
    x = 214,535.40

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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.