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Finding the Fourth Proportional to 589,389.57, 813,455.87 and 347,732.01

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Solution

The fourth proportional to 589,389.57, 813,455.87 and 347,732.01 is: 479,928.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,389.57 : 813,455.87 = 347,732.01 : x
  2. Step 2: Convert to fraction form
    589,389.57/813,455.87 = 347,732.01/x
  3. Step 3: Cross multiply
    589,389.57x = 813,455.87 × 347,732.01
  4. Step 4: Simplify right side
    589,389.57x = 282,864,642,982.74
  5. Step 5: Solve for x
    x = 282,864,642,982.74/589,389.57
  6. Step 6: Final answer
    x = 479,928.14

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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.