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Finding the Fourth Proportional to 585,272, 807,675.36 and 317,000

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Solution

The fourth proportional to 585,272, 807,675.36 and 317,000 is: 437,460

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,272 : 807,675.36 = 317,000 : x
  2. Step 2: Convert to fraction form
    585,272/807,675.36 = 317,000/x
  3. Step 3: Cross multiply
    585,272x = 807,675.36 × 317,000
  4. Step 4: Simplify right side
    585,272x = 256,033,089,120
  5. Step 5: Solve for x
    x = 256,033,089,120/585,272
  6. Step 6: Final answer
    x = 437,460

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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.