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Finding the Fourth Proportional to 385,003.86, 577,118.10 and 160,488.60

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Solution

The fourth proportional to 385,003.86, 577,118.10 and 160,488.60 is: 240,571.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,003.86 : 577,118.10 = 160,488.60 : x
  2. Step 2: Convert to fraction form
    385,003.86/577,118.10 = 160,488.60/x
  3. Step 3: Cross multiply
    385,003.86x = 577,118.10 × 160,488.60
  4. Step 4: Simplify right side
    385,003.86x = 92,620,875,903.66
  5. Step 5: Solve for x
    x = 92,620,875,903.66/385,003.86
  6. Step 6: Final answer
    x = 240,571.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.