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Finding the Fourth Proportional to 313,897.80, 470,328.30 and 267,241.80

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Solution

The fourth proportional to 313,897.80, 470,328.30 and 267,241.80 is: 400,421.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,897.80 : 470,328.30 = 267,241.80 : x
  2. Step 2: Convert to fraction form
    313,897.80/470,328.30 = 267,241.80/x
  3. Step 3: Cross multiply
    313,897.80x = 470,328.30 × 267,241.80
  4. Step 4: Simplify right side
    313,897.80x = 125,691,381,482.94
  5. Step 5: Solve for x
    x = 125,691,381,482.94/313,897.80
  6. Step 6: Final answer
    x = 400,421.35

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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.