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Finding the Fourth Proportional to 317,528.90, 438,173.88 and 188,473

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Solution

The fourth proportional to 317,528.90, 438,173.88 and 188,473 is: 260,083.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,528.90 : 438,173.88 = 188,473 : x
  2. Step 2: Convert to fraction form
    317,528.90/438,173.88 = 188,473/x
  3. Step 3: Cross multiply
    317,528.90x = 438,173.88 × 188,473
  4. Step 4: Simplify right side
    317,528.90x = 82,583,945,685.24
  5. Step 5: Solve for x
    x = 82,583,945,685.24/317,528.90
  6. Step 6: Final answer
    x = 260,083.25

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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.