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Finding the Fourth Proportional to 708,289.41, 977,410.87 and 385,992.59

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Solution

The fourth proportional to 708,289.41, 977,410.87 and 385,992.59 is: 532,654.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,289.41 : 977,410.87 = 385,992.59 : x
  2. Step 2: Convert to fraction form
    708,289.41/977,410.87 = 385,992.59/x
  3. Step 3: Cross multiply
    708,289.41x = 977,410.87 × 385,992.59
  4. Step 4: Simplify right side
    708,289.41x = 377,273,352,851.35
  5. Step 5: Solve for x
    x = 377,273,352,851.35/708,289.41
  6. Step 6: Final answer
    x = 532,654.23

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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.