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Finding the Fourth Proportional to 385,225.80, 577,900.26 and 118,923.72

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Solution

The fourth proportional to 385,225.80, 577,900.26 and 118,923.72 is: 178,404.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,225.80 : 577,900.26 = 118,923.72 : x
  2. Step 2: Convert to fraction form
    385,225.80/577,900.26 = 118,923.72/x
  3. Step 3: Cross multiply
    385,225.80x = 577,900.26 × 118,923.72
  4. Step 4: Simplify right side
    385,225.80x = 68,726,048,708.17
  5. Step 5: Solve for x
    x = 68,726,048,708.17/385,225.80
  6. Step 6: Final answer
    x = 178,404.58

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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.