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Finding the Fourth Proportional to 345,756.64, 518,831.68 and 276,078.72

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Solution

The fourth proportional to 345,756.64, 518,831.68 and 276,078.72 is: 414,275.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,756.64 : 518,831.68 = 276,078.72 : x
  2. Step 2: Convert to fraction form
    345,756.64/518,831.68 = 276,078.72/x
  3. Step 3: Cross multiply
    345,756.64x = 518,831.68 × 276,078.72
  4. Step 4: Simplify right side
    345,756.64x = 143,238,386,109.85
  5. Step 5: Solve for x
    x = 143,238,386,109.85/345,756.64
  6. Step 6: Final answer
    x = 414,275.16

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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.