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Finding the Fourth Proportional to 708,733.80, 978,016.68 and 386,441.28

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Solution

The fourth proportional to 708,733.80, 978,016.68 and 386,441.28 is: 533,269.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,733.80 : 978,016.68 = 386,441.28 : x
  2. Step 2: Convert to fraction form
    708,733.80/978,016.68 = 386,441.28/x
  3. Step 3: Cross multiply
    708,733.80x = 978,016.68 × 386,441.28
  4. Step 4: Simplify right side
    708,733.80x = 377,946,017,680.55
  5. Step 5: Solve for x
    x = 377,946,017,680.55/708,733.80
  6. Step 6: Final answer
    x = 533,269.36

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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.