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Finding the Fourth Proportional to 1,378,691.47, 1,902,566.94 and 766,831.06

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Solution

The fourth proportional to 1,378,691.47, 1,902,566.94 and 766,831.06 is: 1,058,211.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378,691.47 : 1,902,566.94 = 766,831.06 : x
  2. Step 2: Convert to fraction form
    1,378,691.47/1,902,566.94 = 766,831.06/x
  3. Step 3: Cross multiply
    1,378,691.47x = 1,902,566.94 × 766,831.06
  4. Step 4: Simplify right side
    1,378,691.47x = 1,458,947,423,321.16
  5. Step 5: Solve for x
    x = 1,458,947,423,321.16/1,378,691.47
  6. Step 6: Final answer
    x = 1,058,211.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.