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Finding the Fourth Proportional to 297,870.20, 446,805.30 and 209,223.80

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Solution

The fourth proportional to 297,870.20, 446,805.30 and 209,223.80 is: 313,835.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,870.20 : 446,805.30 = 209,223.80 : x
  2. Step 2: Convert to fraction form
    297,870.20/446,805.30 = 209,223.80/x
  3. Step 3: Cross multiply
    297,870.20x = 446,805.30 × 209,223.80
  4. Step 4: Simplify right side
    297,870.20x = 93,482,302,726.14
  5. Step 5: Solve for x
    x = 93,482,302,726.14/297,870.20
  6. Step 6: Final answer
    x = 313,835.70

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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.