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Finding the Fourth Proportional to 978,024.09, 1,466,000.72 and 328,982.40

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Solution

The fourth proportional to 978,024.09, 1,466,000.72 and 328,982.40 is: 493,125.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,024.09 : 1,466,000.72 = 328,982.40 : x
  2. Step 2: Convert to fraction form
    978,024.09/1,466,000.72 = 328,982.40/x
  3. Step 3: Cross multiply
    978,024.09x = 1,466,000.72 × 328,982.40
  4. Step 4: Simplify right side
    978,024.09x = 482,288,433,622.42
  5. Step 5: Solve for x
    x = 482,288,433,622.42/978,024.09
  6. Step 6: Final answer
    x = 493,125.31

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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.