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Finding the Fourth Proportional to 313,762.48, 433,029.08 and 186,438.20

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Solution

The fourth proportional to 313,762.48, 433,029.08 and 186,438.20 is: 257,306.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,762.48 : 433,029.08 = 186,438.20 : x
  2. Step 2: Convert to fraction form
    313,762.48/433,029.08 = 186,438.20/x
  3. Step 3: Cross multiply
    313,762.48x = 433,029.08 × 186,438.20
  4. Step 4: Simplify right side
    313,762.48x = 80,733,162,222.86
  5. Step 5: Solve for x
    x = 80,733,162,222.86/313,762.48
  6. Step 6: Final answer
    x = 257,306.62

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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.