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Finding the Fourth Proportional to 786,462, 1,085,009.48 and 484,131.12

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Solution

The fourth proportional to 786,462, 1,085,009.48 and 484,131.12 is: 667,911.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,462 : 1,085,009.48 = 484,131.12 : x
  2. Step 2: Convert to fraction form
    786,462/1,085,009.48 = 484,131.12/x
  3. Step 3: Cross multiply
    786,462x = 1,085,009.48 × 484,131.12
  4. Step 4: Simplify right side
    786,462x = 525,286,854,763.02
  5. Step 5: Solve for x
    x = 525,286,854,763.02/786,462
  6. Step 6: Final answer
    x = 667,911.30

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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.