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Finding the Fourth Proportional to 1,464,608, 2,021,189.76 and 828,704

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Solution

The fourth proportional to 1,464,608, 2,021,189.76 and 828,704 is: 1,143,628.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464,608 : 2,021,189.76 = 828,704 : x
  2. Step 2: Convert to fraction form
    1,464,608/2,021,189.76 = 828,704/x
  3. Step 3: Cross multiply
    1,464,608x = 2,021,189.76 × 828,704
  4. Step 4: Simplify right side
    1,464,608x = 1,674,968,038,871.04
  5. Step 5: Solve for x
    x = 1,674,968,038,871.04/1,464,608
  6. Step 6: Final answer
    x = 1,143,628.90

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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.