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Finding the Fourth Proportional to 712,790.58, 983,642.86 and 386,097.43

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Solution

The fourth proportional to 712,790.58, 983,642.86 and 386,097.43 is: 532,810.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,790.58 : 983,642.86 = 386,097.43 : x
  2. Step 2: Convert to fraction form
    712,790.58/983,642.86 = 386,097.43/x
  3. Step 3: Cross multiply
    712,790.58x = 983,642.86 × 386,097.43
  4. Step 4: Simplify right side
    712,790.58x = 379,781,978,353.36
  5. Step 5: Solve for x
    x = 379,781,978,353.36/712,790.58
  6. Step 6: Final answer
    x = 532,810.04

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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.