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Finding the Fourth Proportional to 1,008,719.20, 1,512,783.56 and 830,784.88

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Solution

The fourth proportional to 1,008,719.20, 1,512,783.56 and 830,784.88 is: 1,245,934.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008,719.20 : 1,512,783.56 = 830,784.88 : x
  2. Step 2: Convert to fraction form
    1,008,719.20/1,512,783.56 = 830,784.88/x
  3. Step 3: Cross multiply
    1,008,719.20x = 1,512,783.56 × 830,784.88
  4. Step 4: Simplify right side
    1,008,719.20x = 1,256,797,708,360.57
  5. Step 5: Solve for x
    x = 1,256,797,708,360.57/1,008,719.20
  6. Step 6: Final answer
    x = 1,245,934.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.