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Finding the Fourth Proportional to 1,425,225.05, 1,966,786.25 and 771,845.77

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Solution

The fourth proportional to 1,425,225.05, 1,966,786.25 and 771,845.77 is: 1,065,133.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425,225.05 : 1,966,786.25 = 771,845.77 : x
  2. Step 2: Convert to fraction form
    1,425,225.05/1,966,786.25 = 771,845.77/x
  3. Step 3: Cross multiply
    1,425,225.05x = 1,966,786.25 × 771,845.77
  4. Step 4: Simplify right side
    1,425,225.05x = 1,518,055,633,863.50
  5. Step 5: Solve for x
    x = 1,518,055,633,863.50/1,425,225.05
  6. Step 6: Final answer
    x = 1,065,133.98

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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.