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Finding the Fourth Proportional to 585,991, 808,667.58 and 317,719

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Solution

The fourth proportional to 585,991, 808,667.58 and 317,719 is: 438,452.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,991 : 808,667.58 = 317,719 : x
  2. Step 2: Convert to fraction form
    585,991/808,667.58 = 317,719/x
  3. Step 3: Cross multiply
    585,991x = 808,667.58 × 317,719
  4. Step 4: Simplify right side
    585,991x = 256,929,054,850.02
  5. Step 5: Solve for x
    x = 256,929,054,850.02/585,991
  6. Step 6: Final answer
    x = 438,452.22

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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.