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Finding the Fourth Proportional to 469,719.88, 648,205.26 and 285,892

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Solution

The fourth proportional to 469,719.88, 648,205.26 and 285,892 is: 394,525.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,719.88 : 648,205.26 = 285,892 : x
  2. Step 2: Convert to fraction form
    469,719.88/648,205.26 = 285,892/x
  3. Step 3: Cross multiply
    469,719.88x = 648,205.26 × 285,892
  4. Step 4: Simplify right side
    469,719.88x = 185,316,698,191.92
  5. Step 5: Solve for x
    x = 185,316,698,191.92/469,719.88
  6. Step 6: Final answer
    x = 394,525.98

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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.