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Finding the Fourth Proportional to 1,393,310.12, 1,922,742.88 and 781,464.06

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Solution

The fourth proportional to 1,393,310.12, 1,922,742.88 and 781,464.06 is: 1,078,406.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393,310.12 : 1,922,742.88 = 781,464.06 : x
  2. Step 2: Convert to fraction form
    1,393,310.12/1,922,742.88 = 781,464.06/x
  3. Step 3: Cross multiply
    1,393,310.12x = 1,922,742.88 × 781,464.06
  4. Step 4: Simplify right side
    1,393,310.12x = 1,502,554,457,340.89
  5. Step 5: Solve for x
    x = 1,502,554,457,340.89/1,393,310.12
  6. Step 6: Final answer
    x = 1,078,406.33

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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.