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Finding the Fourth Proportional to 589,155.40, 813,126.78 and 347,464.54

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Solution

The fourth proportional to 589,155.40, 813,126.78 and 347,464.54 is: 479,555.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,155.40 : 813,126.78 = 347,464.54 : x
  2. Step 2: Convert to fraction form
    589,155.40/813,126.78 = 347,464.54/x
  3. Step 3: Cross multiply
    589,155.40x = 813,126.78 × 347,464.54
  4. Step 4: Simplify right side
    589,155.40x = 282,532,722,574.38
  5. Step 5: Solve for x
    x = 282,532,722,574.38/589,155.40
  6. Step 6: Final answer
    x = 479,555.52

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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.