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Finding the Fourth Proportional to 405,438.46, 559,480.97 and 224,139.53

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Solution

The fourth proportional to 405,438.46, 559,480.97 and 224,139.53 is: 309,299.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,438.46 : 559,480.97 = 224,139.53 : x
  2. Step 2: Convert to fraction form
    405,438.46/559,480.97 = 224,139.53/x
  3. Step 3: Cross multiply
    405,438.46x = 559,480.97 × 224,139.53
  4. Step 4: Simplify right side
    405,438.46x = 125,401,803,618.80
  5. Step 5: Solve for x
    x = 125,401,803,618.80/405,438.46
  6. Step 6: Final answer
    x = 309,299.23

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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.