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Finding the Fourth Proportional to 383,822.42, 575,165.01 and 155,840.80

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Solution

The fourth proportional to 383,822.42, 575,165.01 and 155,840.80 is: 233,530.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,822.42 : 575,165.01 = 155,840.80 : x
  2. Step 2: Convert to fraction form
    383,822.42/575,165.01 = 155,840.80/x
  3. Step 3: Cross multiply
    383,822.42x = 575,165.01 × 155,840.80
  4. Step 4: Simplify right side
    383,822.42x = 89,634,176,009.36
  5. Step 5: Solve for x
    x = 89,634,176,009.36/383,822.42
  6. Step 6: Final answer
    x = 233,530.33

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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.