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Finding the Fourth Proportional to 383,642.19, 575,657.69 and 258,720.75

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Solution

The fourth proportional to 383,642.19, 575,657.69 and 258,720.75 is: 388,212.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,642.19 : 575,657.69 = 258,720.75 : x
  2. Step 2: Convert to fraction form
    383,642.19/575,657.69 = 258,720.75/x
  3. Step 3: Cross multiply
    383,642.19x = 575,657.69 × 258,720.75
  4. Step 4: Simplify right side
    383,642.19x = 148,934,588,006.46
  5. Step 5: Solve for x
    x = 148,934,588,006.46/383,642.19
  6. Step 6: Final answer
    x = 388,212.22

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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.