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Finding the Fourth Proportional to 588,765, 812,495.70 and 320,493

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Solution

The fourth proportional to 588,765, 812,495.70 and 320,493 is: 442,280.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,765 : 812,495.70 = 320,493 : x
  2. Step 2: Convert to fraction form
    588,765/812,495.70 = 320,493/x
  3. Step 3: Cross multiply
    588,765x = 812,495.70 × 320,493
  4. Step 4: Simplify right side
    588,765x = 260,399,184,380.10
  5. Step 5: Solve for x
    x = 260,399,184,380.10/588,765
  6. Step 6: Final answer
    x = 442,280.34

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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.