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Finding the Fourth Proportional to 523,821.90, 785,214.45 and 257,364.30

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Solution

The fourth proportional to 523,821.90, 785,214.45 and 257,364.30 is: 385,791.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,821.90 : 785,214.45 = 257,364.30 : x
  2. Step 2: Convert to fraction form
    523,821.90/785,214.45 = 257,364.30/x
  3. Step 3: Cross multiply
    523,821.90x = 785,214.45 × 257,364.30
  4. Step 4: Simplify right side
    523,821.90x = 202,086,167,274.14
  5. Step 5: Solve for x
    x = 202,086,167,274.14/523,821.90
  6. Step 6: Final answer
    x = 385,791.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.