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Finding the Fourth Proportional to 457,136, 685,571.61 and 137,274.95

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Solution

The fourth proportional to 457,136, 685,571.61 and 137,274.95 is: 205,872.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,136 : 685,571.61 = 137,274.95 : x
  2. Step 2: Convert to fraction form
    457,136/685,571.61 = 137,274.95/x
  3. Step 3: Cross multiply
    457,136x = 685,571.61 × 137,274.95
  4. Step 4: Simplify right side
    457,136x = 94,111,808,484.17
  5. Step 5: Solve for x
    x = 94,111,808,484.17/457,136
  6. Step 6: Final answer
    x = 205,872.67

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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.