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Finding the Fourth Proportional to 492,303.58, 738,389.75 and 137,287.87

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Solution

The fourth proportional to 492,303.58, 738,389.75 and 137,287.87 is: 205,913.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,303.58 : 738,389.75 = 137,287.87 : x
  2. Step 2: Convert to fraction form
    492,303.58/738,389.75 = 137,287.87/x
  3. Step 3: Cross multiply
    492,303.58x = 738,389.75 × 137,287.87
  4. Step 4: Simplify right side
    492,303.58x = 101,371,956,007.33
  5. Step 5: Solve for x
    x = 101,371,956,007.33/492,303.58
  6. Step 6: Final answer
    x = 205,913.51

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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.