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Finding the Fourth Proportional to 317,428.88, 438,052.05 and 190,178.28

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Solution

The fourth proportional to 317,428.88, 438,052.05 and 190,178.28 is: 262,446.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,428.88 : 438,052.05 = 190,178.28 : x
  2. Step 2: Convert to fraction form
    317,428.88/438,052.05 = 190,178.28/x
  3. Step 3: Cross multiply
    317,428.88x = 438,052.05 × 190,178.28
  4. Step 4: Simplify right side
    317,428.88x = 83,307,985,419.47
  5. Step 5: Solve for x
    x = 83,307,985,419.47/317,428.88
  6. Step 6: Final answer
    x = 262,446.15

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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.