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Finding the Fourth Proportional to 584,703, 806,890.20 and 316,431

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Solution

The fourth proportional to 584,703, 806,890.20 and 316,431 is: 436,674.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,703 : 806,890.20 = 316,431 : x
  2. Step 2: Convert to fraction form
    584,703/806,890.20 = 316,431/x
  3. Step 3: Cross multiply
    584,703x = 806,890.20 × 316,431
  4. Step 4: Simplify right side
    584,703x = 255,325,072,876.20
  5. Step 5: Solve for x
    x = 255,325,072,876.20/584,703
  6. Step 6: Final answer
    x = 436,674.81

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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.