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Finding the Fourth Proportional to 511,831.90, 762,494.86 and 488,802.88

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Solution

The fourth proportional to 511,831.90, 762,494.86 and 488,802.88 is: 728,187.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,831.90 : 762,494.86 = 488,802.88 : x
  2. Step 2: Convert to fraction form
    511,831.90/762,494.86 = 488,802.88/x
  3. Step 3: Cross multiply
    511,831.90x = 762,494.86 × 488,802.88
  4. Step 4: Simplify right side
    511,831.90x = 372,709,681,109.18
  5. Step 5: Solve for x
    x = 372,709,681,109.18/511,831.90
  6. Step 6: Final answer
    x = 728,187.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.