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Finding the Fourth Proportional to 492,688.28, 738,802.71 and 255,967.40

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Solution

The fourth proportional to 492,688.28, 738,802.71 and 255,967.40 is: 383,831.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,688.28 : 738,802.71 = 255,967.40 : x
  2. Step 2: Convert to fraction form
    492,688.28/738,802.71 = 255,967.40/x
  3. Step 3: Cross multiply
    492,688.28x = 738,802.71 × 255,967.40
  4. Step 4: Simplify right side
    492,688.28x = 189,109,408,791.65
  5. Step 5: Solve for x
    x = 189,109,408,791.65/492,688.28
  6. Step 6: Final answer
    x = 383,831.76

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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.