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Finding the Fourth Proportional to 585,642, 808,185.96 and 317,370

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Solution

The fourth proportional to 585,642, 808,185.96 and 317,370 is: 437,970.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,642 : 808,185.96 = 317,370 : x
  2. Step 2: Convert to fraction form
    585,642/808,185.96 = 317,370/x
  3. Step 3: Cross multiply
    585,642x = 808,185.96 × 317,370
  4. Step 4: Simplify right side
    585,642x = 256,493,978,125.20
  5. Step 5: Solve for x
    x = 256,493,978,125.20/585,642
  6. Step 6: Final answer
    x = 437,970.60

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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.