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Finding the Fourth Proportional to 383,871.48, 574,669.98 and 284,478

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Solution

The fourth proportional to 383,871.48, 574,669.98 and 284,478 is: 425,874.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,871.48 : 574,669.98 = 284,478 : x
  2. Step 2: Convert to fraction form
    383,871.48/574,669.98 = 284,478/x
  3. Step 3: Cross multiply
    383,871.48x = 574,669.98 × 284,478
  4. Step 4: Simplify right side
    383,871.48x = 163,480,966,570.44
  5. Step 5: Solve for x
    x = 163,480,966,570.44/383,871.48
  6. Step 6: Final answer
    x = 425,874.22

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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.