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Finding the Fourth Proportional to 708,288.78, 977,410 and 385,991.96

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Solution

The fourth proportional to 708,288.78, 977,410 and 385,991.96 is: 532,653.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,288.78 : 977,410 = 385,991.96 : x
  2. Step 2: Convert to fraction form
    708,288.78/977,410 = 385,991.96/x
  3. Step 3: Cross multiply
    708,288.78x = 977,410 × 385,991.96
  4. Step 4: Simplify right side
    708,288.78x = 377,272,401,623.60
  5. Step 5: Solve for x
    x = 377,272,401,623.60/708,288.78
  6. Step 6: Final answer
    x = 532,653.36

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1.5x scale

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.