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Finding the Fourth Proportional to 382,969, 574,453.14 and 172,360.84

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Solution

The fourth proportional to 382,969, 574,453.14 and 172,360.84 is: 258,541.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,969 : 574,453.14 = 172,360.84 : x
  2. Step 2: Convert to fraction form
    382,969/574,453.14 = 172,360.84/x
  3. Step 3: Cross multiply
    382,969x = 574,453.14 × 172,360.84
  4. Step 4: Simplify right side
    382,969x = 99,013,225,751.04
  5. Step 5: Solve for x
    x = 99,013,225,751.04/382,969
  6. Step 6: Final answer
    x = 258,541.10

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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.