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Finding the Fourth Proportional to 309,638.40, 427,334.40 and 175,488

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Solution

The fourth proportional to 309,638.40, 427,334.40 and 175,488 is: 242,192.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,638.40 : 427,334.40 = 175,488 : x
  2. Step 2: Convert to fraction form
    309,638.40/427,334.40 = 175,488/x
  3. Step 3: Cross multiply
    309,638.40x = 427,334.40 × 175,488
  4. Step 4: Simplify right side
    309,638.40x = 74,992,059,187.20
  5. Step 5: Solve for x
    x = 74,992,059,187.20/309,638.40
  6. Step 6: Final answer
    x = 242,192.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.