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Finding the Fourth Proportional to 584,254, 806,270.52 and 315,982

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Solution

The fourth proportional to 584,254, 806,270.52 and 315,982 is: 436,055.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,254 : 806,270.52 = 315,982 : x
  2. Step 2: Convert to fraction form
    584,254/806,270.52 = 315,982/x
  3. Step 3: Cross multiply
    584,254x = 806,270.52 × 315,982
  4. Step 4: Simplify right side
    584,254x = 254,766,971,450.64
  5. Step 5: Solve for x
    x = 254,766,971,450.64/584,254
  6. Step 6: Final answer
    x = 436,055.16

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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.