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Finding the Fourth Proportional to 1,426,411.86, 1,968,497.13 and 781,831.90

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Solution

The fourth proportional to 1,426,411.86, 1,968,497.13 and 781,831.90 is: 1,078,954.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426,411.86 : 1,968,497.13 = 781,831.90 : x
  2. Step 2: Convert to fraction form
    1,426,411.86/1,968,497.13 = 781,831.90/x
  3. Step 3: Cross multiply
    1,426,411.86x = 1,968,497.13 × 781,831.90
  4. Step 4: Simplify right side
    1,426,411.86x = 1,539,033,851,292.45
  5. Step 5: Solve for x
    x = 1,539,033,851,292.45/1,426,411.86
  6. Step 6: Final answer
    x = 1,078,954.75

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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.