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Finding the Fourth Proportional to 379,779.40, 570,007.02 and 202,432.84

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Solution

The fourth proportional to 379,779.40, 570,007.02 and 202,432.84 is: 303,829.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,779.40 : 570,007.02 = 202,432.84 : x
  2. Step 2: Convert to fraction form
    379,779.40/570,007.02 = 202,432.84/x
  3. Step 3: Cross multiply
    379,779.40x = 570,007.02 × 202,432.84
  4. Step 4: Simplify right side
    379,779.40x = 115,388,139,878.54
  5. Step 5: Solve for x
    x = 115,388,139,878.54/379,779.40
  6. Step 6: Final answer
    x = 303,829.38

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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.