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Finding the Fourth Proportional to 584,262.50, 806,282.25 and 315,990.50

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Solution

The fourth proportional to 584,262.50, 806,282.25 and 315,990.50 is: 436,066.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,262.50 : 806,282.25 = 315,990.50 : x
  2. Step 2: Convert to fraction form
    584,262.50/806,282.25 = 315,990.50/x
  3. Step 3: Cross multiply
    584,262.50x = 806,282.25 × 315,990.50
  4. Step 4: Simplify right side
    584,262.50x = 254,777,531,318.63
  5. Step 5: Solve for x
    x = 254,777,531,318.63/584,262.50
  6. Step 6: Final answer
    x = 436,066.89

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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.