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Finding the Fourth Proportional to 317,431, 476,280 and 197,588.14

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Solution

The fourth proportional to 317,431, 476,280 and 197,588.14 is: 296,465.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,431 : 476,280 = 197,588.14 : x
  2. Step 2: Convert to fraction form
    317,431/476,280 = 197,588.14/x
  3. Step 3: Cross multiply
    317,431x = 476,280 × 197,588.14
  4. Step 4: Simplify right side
    317,431x = 94,107,279,319.20
  5. Step 5: Solve for x
    x = 94,107,279,319.20/317,431
  6. Step 6: Final answer
    x = 296,465.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.