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Finding the Fourth Proportional to 469,720.88, 648,206.64 and 285,893

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Solution

The fourth proportional to 469,720.88, 648,206.64 and 285,893 is: 394,527.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,720.88 : 648,206.64 = 285,893 : x
  2. Step 2: Convert to fraction form
    469,720.88/648,206.64 = 285,893/x
  3. Step 3: Cross multiply
    469,720.88x = 648,206.64 × 285,893
  4. Step 4: Simplify right side
    469,720.88x = 185,317,740,929.52
  5. Step 5: Solve for x
    x = 185,317,740,929.52/469,720.88
  6. Step 6: Final answer
    x = 394,527.36

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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.