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Finding the Fourth Proportional to 415,832.40, 623,748.60 and 384,339.60

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Solution

The fourth proportional to 415,832.40, 623,748.60 and 384,339.60 is: 576,509.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,832.40 : 623,748.60 = 384,339.60 : x
  2. Step 2: Convert to fraction form
    415,832.40/623,748.60 = 384,339.60/x
  3. Step 3: Cross multiply
    415,832.40x = 623,748.60 × 384,339.60
  4. Step 4: Simplify right side
    415,832.40x = 239,731,287,424.56
  5. Step 5: Solve for x
    x = 239,731,287,424.56/415,832.40
  6. Step 6: Final answer
    x = 576,509.40

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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.