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Finding the Fourth Proportional to 1,073,798, 1,610,697 and 285,830

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Solution

The fourth proportional to 1,073,798, 1,610,697 and 285,830 is: 428,745

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073,798 : 1,610,697 = 285,830 : x
  2. Step 2: Convert to fraction form
    1,073,798/1,610,697 = 285,830/x
  3. Step 3: Cross multiply
    1,073,798x = 1,610,697 × 285,830
  4. Step 4: Simplify right side
    1,073,798x = 460,385,523,510
  5. Step 5: Solve for x
    x = 460,385,523,510/1,073,798
  6. Step 6: Final answer
    x = 428,745

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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.