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Finding the Fourth Proportional to 289,809.60, 435,232.80 and 280,478.40

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Solution

The fourth proportional to 289,809.60, 435,232.80 and 280,478.40 is: 421,219.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,809.60 : 435,232.80 = 280,478.40 : x
  2. Step 2: Convert to fraction form
    289,809.60/435,232.80 = 280,478.40/x
  3. Step 3: Cross multiply
    289,809.60x = 435,232.80 × 280,478.40
  4. Step 4: Simplify right side
    289,809.60x = 122,073,399,371.52
  5. Step 5: Solve for x
    x = 122,073,399,371.52/289,809.60
  6. Step 6: Final answer
    x = 421,219.31

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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.