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Finding the Fourth Proportional to 766,034, 1,057,134.21 and 426,509.54

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Solution

The fourth proportional to 766,034, 1,057,134.21 and 426,509.54 is: 588,587.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,034 : 1,057,134.21 = 426,509.54 : x
  2. Step 2: Convert to fraction form
    766,034/1,057,134.21 = 426,509.54/x
  3. Step 3: Cross multiply
    766,034x = 1,057,134.21 × 426,509.54
  4. Step 4: Simplify right side
    766,034x = 450,877,825,625.36
  5. Step 5: Solve for x
    x = 450,877,825,625.36/766,034
  6. Step 6: Final answer
    x = 588,587.22

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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.