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Finding the Fourth Proportional to 289,206.40, 433,809.60 and 187,729.60

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Solution

The fourth proportional to 289,206.40, 433,809.60 and 187,729.60 is: 281,594.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,206.40 : 433,809.60 = 187,729.60 : x
  2. Step 2: Convert to fraction form
    289,206.40/433,809.60 = 187,729.60/x
  3. Step 3: Cross multiply
    289,206.40x = 433,809.60 × 187,729.60
  4. Step 4: Simplify right side
    289,206.40x = 81,438,902,684.16
  5. Step 5: Solve for x
    x = 81,438,902,684.16/289,206.40
  6. Step 6: Final answer
    x = 281,594.40

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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.