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Finding the Fourth Proportional to 1,098,545, 1,648,052.76 and 340,369.68

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Solution

The fourth proportional to 1,098,545, 1,648,052.76 and 340,369.68 is: 510,627.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,545 : 1,648,052.76 = 340,369.68 : x
  2. Step 2: Convert to fraction form
    1,098,545/1,648,052.76 = 340,369.68/x
  3. Step 3: Cross multiply
    1,098,545x = 1,648,052.76 × 340,369.68
  4. Step 4: Simplify right side
    1,098,545x = 560,947,190,544.32
  5. Step 5: Solve for x
    x = 560,947,190,544.32/1,098,545
  6. Step 6: Final answer
    x = 510,627.41

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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.