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Finding the Fourth Proportional to 278,096.63, 416,897.55 and 100,564.20

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Solution

The fourth proportional to 278,096.63, 416,897.55 and 100,564.20 is: 150,756.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,096.63 : 416,897.55 = 100,564.20 : x
  2. Step 2: Convert to fraction form
    278,096.63/416,897.55 = 100,564.20/x
  3. Step 3: Cross multiply
    278,096.63x = 416,897.55 × 100,564.20
  4. Step 4: Simplify right side
    278,096.63x = 41,924,968,597.71
  5. Step 5: Solve for x
    x = 41,924,968,597.71/278,096.63
  6. Step 6: Final answer
    x = 150,756.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.