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Finding the Fourth Proportional to 389,571.92, 584,374.58 and 152,965.86

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Solution

The fourth proportional to 389,571.92, 584,374.58 and 152,965.86 is: 229,455.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,571.92 : 584,374.58 = 152,965.86 : x
  2. Step 2: Convert to fraction form
    389,571.92/584,374.58 = 152,965.86/x
  3. Step 3: Cross multiply
    389,571.92x = 584,374.58 × 152,965.86
  4. Step 4: Simplify right side
    389,571.92x = 89,389,360,191.84
  5. Step 5: Solve for x
    x = 89,389,360,191.84/389,571.92
  6. Step 6: Final answer
    x = 229,455.35

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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.