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Finding the Fourth Proportional to 383,230.51, 575,091.80 and 257,013.28

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Solution

The fourth proportional to 383,230.51, 575,091.80 and 257,013.28 is: 385,684.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,230.51 : 575,091.80 = 257,013.28 : x
  2. Step 2: Convert to fraction form
    383,230.51/575,091.80 = 257,013.28/x
  3. Step 3: Cross multiply
    383,230.51x = 575,091.80 × 257,013.28
  4. Step 4: Simplify right side
    383,230.51x = 147,806,225,658.58
  5. Step 5: Solve for x
    x = 147,806,225,658.58/383,230.51
  6. Step 6: Final answer
    x = 385,684.92

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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.