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Finding the Fourth Proportional to 317,158.60, 437,699.10 and 209,539.84

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Solution

The fourth proportional to 317,158.60, 437,699.10 and 209,539.84 is: 289,178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,158.60 : 437,699.10 = 209,539.84 : x
  2. Step 2: Convert to fraction form
    317,158.60/437,699.10 = 209,539.84/x
  3. Step 3: Cross multiply
    317,158.60x = 437,699.10 × 209,539.84
  4. Step 4: Simplify right side
    317,158.60x = 91,715,399,382.14
  5. Step 5: Solve for x
    x = 91,715,399,382.14/317,158.60
  6. Step 6: Final answer
    x = 289,178.35

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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.