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Finding the Fourth Proportional to 314,401.81, 433,983.85 and 187,074.67

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Solution

The fourth proportional to 314,401.81, 433,983.85 and 187,074.67 is: 258,228.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,401.81 : 433,983.85 = 187,074.67 : x
  2. Step 2: Convert to fraction form
    314,401.81/433,983.85 = 187,074.67/x
  3. Step 3: Cross multiply
    314,401.81x = 433,983.85 × 187,074.67
  4. Step 4: Simplify right side
    314,401.81x = 81,187,385,524.08
  5. Step 5: Solve for x
    x = 81,187,385,524.08/314,401.81
  6. Step 6: Final answer
    x = 258,228.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.