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Finding the Fourth Proportional to 282,775.56, 390,235.14 and 155,456.52

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Solution

The fourth proportional to 282,775.56, 390,235.14 and 155,456.52 is: 214,532.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,775.56 : 390,235.14 = 155,456.52 : x
  2. Step 2: Convert to fraction form
    282,775.56/390,235.14 = 155,456.52/x
  3. Step 3: Cross multiply
    282,775.56x = 390,235.14 × 155,456.52
  4. Step 4: Simplify right side
    282,775.56x = 60,664,596,846.11
  5. Step 5: Solve for x
    x = 60,664,596,846.11/282,775.56
  6. Step 6: Final answer
    x = 214,532.67

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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.