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Finding the Fourth Proportional to 317,209, 437,747.54 and 181,285.12

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Solution

The fourth proportional to 317,209, 437,747.54 and 181,285.12 is: 250,172.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,209 : 437,747.54 = 181,285.12 : x
  2. Step 2: Convert to fraction form
    317,209/437,747.54 = 181,285.12/x
  3. Step 3: Cross multiply
    317,209x = 437,747.54 × 181,285.12
  4. Step 4: Simplify right side
    317,209x = 79,357,115,318.60
  5. Step 5: Solve for x
    x = 79,357,115,318.60/317,209
  6. Step 6: Final answer
    x = 250,172.96

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1.5x scale

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.