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Finding the Fourth Proportional to 746,874, 1,030,686.12 and 407,344.68

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Solution

The fourth proportional to 746,874, 1,030,686.12 and 407,344.68 is: 562,135.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,874 : 1,030,686.12 = 407,344.68 : x
  2. Step 2: Convert to fraction form
    746,874/1,030,686.12 = 407,344.68/x
  3. Step 3: Cross multiply
    746,874x = 1,030,686.12 × 407,344.68
  4. Step 4: Simplify right side
    746,874x = 419,844,507,731.84
  5. Step 5: Solve for x
    x = 419,844,507,731.84/746,874
  6. Step 6: Final answer
    x = 562,135.66

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1.5x scale

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.