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Finding the Fourth Proportional to 708,842.70, 978,185.16 and 386,559

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Solution

The fourth proportional to 708,842.70, 978,185.16 and 386,559 is: 533,441.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,842.70 : 978,185.16 = 386,559 : x
  2. Step 2: Convert to fraction form
    708,842.70/978,185.16 = 386,559/x
  3. Step 3: Cross multiply
    708,842.70x = 978,185.16 × 386,559
  4. Step 4: Simplify right side
    708,842.70x = 378,126,277,264.44
  5. Step 5: Solve for x
    x = 378,126,277,264.44/708,842.70
  6. Step 6: Final answer
    x = 533,441.73

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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.