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Finding the Fourth Proportional to 489,205.80, 733,808.70 and 208,751.40

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Solution

The fourth proportional to 489,205.80, 733,808.70 and 208,751.40 is: 313,127.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,205.80 : 733,808.70 = 208,751.40 : x
  2. Step 2: Convert to fraction form
    489,205.80/733,808.70 = 208,751.40/x
  3. Step 3: Cross multiply
    489,205.80x = 733,808.70 × 208,751.40
  4. Step 4: Simplify right side
    489,205.80x = 153,183,593,457.18
  5. Step 5: Solve for x
    x = 153,183,593,457.18/489,205.80
  6. Step 6: Final answer
    x = 313,127.10

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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.