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Finding the Fourth Proportional to 340,868.94, 470,401.47 and 189,975.66

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Solution

The fourth proportional to 340,868.94, 470,401.47 and 189,975.66 is: 262,167.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,868.94 : 470,401.47 = 189,975.66 : x
  2. Step 2: Convert to fraction form
    340,868.94/470,401.47 = 189,975.66/x
  3. Step 3: Cross multiply
    340,868.94x = 470,401.47 × 189,975.66
  4. Step 4: Simplify right side
    340,868.94x = 89,364,829,728.22
  5. Step 5: Solve for x
    x = 89,364,829,728.22/340,868.94
  6. Step 6: Final answer
    x = 262,167.71

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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.