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Finding the Fourth Proportional to 385,009.53, 577,596.71 and 115,158.84

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Solution

The fourth proportional to 385,009.53, 577,596.71 and 115,158.84 is: 172,762.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,009.53 : 577,596.71 = 115,158.84 : x
  2. Step 2: Convert to fraction form
    385,009.53/577,596.71 = 115,158.84/x
  3. Step 3: Cross multiply
    385,009.53x = 577,596.71 × 115,158.84
  4. Step 4: Simplify right side
    385,009.53x = 66,515,367,111.42
  5. Step 5: Solve for x
    x = 66,515,367,111.42/385,009.53
  6. Step 6: Final answer
    x = 172,762.91

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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.