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Finding the Fourth Proportional to 282,763.78, 390,204.14 and 155,438.46

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Solution

The fourth proportional to 282,763.78, 390,204.14 and 155,438.46 is: 214,499.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,763.78 : 390,204.14 = 155,438.46 : x
  2. Step 2: Convert to fraction form
    282,763.78/390,204.14 = 155,438.46/x
  3. Step 3: Cross multiply
    282,763.78x = 390,204.14 × 155,438.46
  4. Step 4: Simplify right side
    282,763.78x = 60,652,729,830.03
  5. Step 5: Solve for x
    x = 60,652,729,830.03/282,763.78
  6. Step 6: Final answer
    x = 214,499.64

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1.5x scale

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.