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Finding the Fourth Proportional to 565,218.80, 847,828.20 and 489,111.20

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Solution

The fourth proportional to 565,218.80, 847,828.20 and 489,111.20 is: 733,666.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,218.80 : 847,828.20 = 489,111.20 : x
  2. Step 2: Convert to fraction form
    565,218.80/847,828.20 = 489,111.20/x
  3. Step 3: Cross multiply
    565,218.80x = 847,828.20 × 489,111.20
  4. Step 4: Simplify right side
    565,218.80x = 414,682,268,295.84
  5. Step 5: Solve for x
    x = 414,682,268,295.84/565,218.80
  6. Step 6: Final answer
    x = 733,666.80

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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.