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Finding the Fourth Proportional to 661,014.12, 989,983.36 and 642,831.24

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Solution

The fourth proportional to 661,014.12, 989,983.36 and 642,831.24 is: 962,751.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,014.12 : 989,983.36 = 642,831.24 : x
  2. Step 2: Convert to fraction form
    661,014.12/989,983.36 = 642,831.24/x
  3. Step 3: Cross multiply
    661,014.12x = 989,983.36 × 642,831.24
  4. Step 4: Simplify right side
    661,014.12x = 636,392,230,888.17
  5. Step 5: Solve for x
    x = 636,392,230,888.17/661,014.12
  6. Step 6: Final answer
    x = 962,751.34

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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.