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Finding the Fourth Proportional to 758,661.68, 1,046,978.52 and 419,148.56

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Solution

The fourth proportional to 758,661.68, 1,046,978.52 and 419,148.56 is: 578,439.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,661.68 : 1,046,978.52 = 419,148.56 : x
  2. Step 2: Convert to fraction form
    758,661.68/1,046,978.52 = 419,148.56/x
  3. Step 3: Cross multiply
    758,661.68x = 1,046,978.52 × 419,148.56
  4. Step 4: Simplify right side
    758,661.68x = 438,839,539,008.93
  5. Step 5: Solve for x
    x = 438,839,539,008.93/758,661.68
  6. Step 6: Final answer
    x = 578,439.05

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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.