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Finding the Fourth Proportional to 591,378.60, 816,101.95 and 319,446.40

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Solution

The fourth proportional to 591,378.60, 816,101.95 and 319,446.40 is: 440,835.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,378.60 : 816,101.95 = 319,446.40 : x
  2. Step 2: Convert to fraction form
    591,378.60/816,101.95 = 319,446.40/x
  3. Step 3: Cross multiply
    591,378.60x = 816,101.95 × 319,446.40
  4. Step 4: Simplify right side
    591,378.60x = 260,700,829,960.48
  5. Step 5: Solve for x
    x = 260,700,829,960.48/591,378.60
  6. Step 6: Final answer
    x = 440,835.75

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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.