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Finding the Fourth Proportional to 517,809.26, 776,831.52 and 158,012.28

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Solution

The fourth proportional to 517,809.26, 776,831.52 and 158,012.28 is: 237,054.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,809.26 : 776,831.52 = 158,012.28 : x
  2. Step 2: Convert to fraction form
    517,809.26/776,831.52 = 158,012.28/x
  3. Step 3: Cross multiply
    517,809.26x = 776,831.52 × 158,012.28
  4. Step 4: Simplify right side
    517,809.26x = 122,748,919,651.07
  5. Step 5: Solve for x
    x = 122,748,919,651.07/517,809.26
  6. Step 6: Final answer
    x = 237,054.32

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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.