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Finding the Fourth Proportional to 584,916, 807,185.16 and 316,644

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Solution

The fourth proportional to 584,916, 807,185.16 and 316,644 is: 436,969.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,916 : 807,185.16 = 316,644 : x
  2. Step 2: Convert to fraction form
    584,916/807,185.16 = 316,644/x
  3. Step 3: Cross multiply
    584,916x = 807,185.16 × 316,644
  4. Step 4: Simplify right side
    584,916x = 255,590,337,803.04
  5. Step 5: Solve for x
    x = 255,590,337,803.04/584,916
  6. Step 6: Final answer
    x = 436,969.30

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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.