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Finding the Fourth Proportional to 589,570, 813,612.36 and 321,303.76

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Solution

The fourth proportional to 589,570, 813,612.36 and 321,303.76 is: 443,402.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,570 : 813,612.36 = 321,303.76 : x
  2. Step 2: Convert to fraction form
    589,570/813,612.36 = 321,303.76/x
  3. Step 3: Cross multiply
    589,570x = 813,612.36 × 321,303.76
  4. Step 4: Simplify right side
    589,570x = 261,416,710,450.47
  5. Step 5: Solve for x
    x = 261,416,710,450.47/589,570
  6. Step 6: Final answer
    x = 443,402.33

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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.