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Finding the Fourth Proportional to 708,136.78, 977,216.40 and 385,849.54

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Solution

The fourth proportional to 708,136.78, 977,216.40 and 385,849.54 is: 532,465.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,136.78 : 977,216.40 = 385,849.54 : x
  2. Step 2: Convert to fraction form
    708,136.78/977,216.40 = 385,849.54/x
  3. Step 3: Cross multiply
    708,136.78x = 977,216.40 × 385,849.54
  4. Step 4: Simplify right side
    708,136.78x = 377,058,498,420.46
  5. Step 5: Solve for x
    x = 377,058,498,420.46/708,136.78
  6. Step 6: Final answer
    x = 532,465.63

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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.