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Finding the Fourth Proportional to 708,497.64, 977,707.14 and 386,214

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Solution

The fourth proportional to 708,497.64, 977,707.14 and 386,214 is: 532,964.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,497.64 : 977,707.14 = 386,214 : x
  2. Step 2: Convert to fraction form
    708,497.64/977,707.14 = 386,214/x
  3. Step 3: Cross multiply
    708,497.64x = 977,707.14 × 386,214
  4. Step 4: Simplify right side
    708,497.64x = 377,604,185,367.96
  5. Step 5: Solve for x
    x = 377,604,185,367.96/708,497.64
  6. Step 6: Final answer
    x = 532,964.63

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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.