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Finding the Fourth Proportional to 589,569, 813,610.98 and 321,302.76

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Solution

The fourth proportional to 589,569, 813,610.98 and 321,302.76 is: 443,400.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,569 : 813,610.98 = 321,302.76 : x
  2. Step 2: Convert to fraction form
    589,569/813,610.98 = 321,302.76/x
  3. Step 3: Cross multiply
    589,569x = 813,610.98 × 321,302.76
  4. Step 4: Simplify right side
    589,569x = 261,415,453,440.31
  5. Step 5: Solve for x
    x = 261,415,453,440.31/589,569
  6. Step 6: Final answer
    x = 443,400.95

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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.