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Finding the Fourth Proportional to 317,436.83, 438,075.45 and 174,202

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Solution

The fourth proportional to 317,436.83, 438,075.45 and 174,202 is: 240,405.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,436.83 : 438,075.45 = 174,202 : x
  2. Step 2: Convert to fraction form
    317,436.83/438,075.45 = 174,202/x
  3. Step 3: Cross multiply
    317,436.83x = 438,075.45 × 174,202
  4. Step 4: Simplify right side
    317,436.83x = 76,313,619,540.90
  5. Step 5: Solve for x
    x = 76,313,619,540.90/317,436.83
  6. Step 6: Final answer
    x = 240,405.69

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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.