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Finding the Fourth Proportional to 523,321.20, 785,903.40 and 405,279.60

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Solution

The fourth proportional to 523,321.20, 785,903.40 and 405,279.60 is: 608,633.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,321.20 : 785,903.40 = 405,279.60 : x
  2. Step 2: Convert to fraction form
    523,321.20/785,903.40 = 405,279.60/x
  3. Step 3: Cross multiply
    523,321.20x = 785,903.40 × 405,279.60
  4. Step 4: Simplify right side
    523,321.20x = 318,510,615,590.64
  5. Step 5: Solve for x
    x = 318,510,615,590.64/523,321.20
  6. Step 6: Final answer
    x = 608,633.12

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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.