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Finding the Fourth Proportional to 285,347.84, 427,655.43 and 107,643.15

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Solution

The fourth proportional to 285,347.84, 427,655.43 and 107,643.15 is: 161,326.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,347.84 : 427,655.43 = 107,643.15 : x
  2. Step 2: Convert to fraction form
    285,347.84/427,655.43 = 107,643.15/x
  3. Step 3: Cross multiply
    285,347.84x = 427,655.43 × 107,643.15
  4. Step 4: Simplify right side
    285,347.84x = 46,034,177,599.80
  5. Step 5: Solve for x
    x = 46,034,177,599.80/285,347.84
  6. Step 6: Final answer
    x = 161,326.54

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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.