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Finding the Fourth Proportional to 1,423,697.76, 1,964,697.68 and 770,321.80

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Solution

The fourth proportional to 1,423,697.76, 1,964,697.68 and 770,321.80 is: 1,063,041.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423,697.76 : 1,964,697.68 = 770,321.80 : x
  2. Step 2: Convert to fraction form
    1,423,697.76/1,964,697.68 = 770,321.80/x
  3. Step 3: Cross multiply
    1,423,697.76x = 1,964,697.68 × 770,321.80
  4. Step 4: Simplify right side
    1,423,697.76x = 1,513,449,453,313.42
  5. Step 5: Solve for x
    x = 1,513,449,453,313.42/1,423,697.76
  6. Step 6: Final answer
    x = 1,063,041.25

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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.