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Finding the Fourth Proportional to 588,790, 812,530.20 and 320,518

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Solution

The fourth proportional to 588,790, 812,530.20 and 320,518 is: 442,314.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,790 : 812,530.20 = 320,518 : x
  2. Step 2: Convert to fraction form
    588,790/812,530.20 = 320,518/x
  3. Step 3: Cross multiply
    588,790x = 812,530.20 × 320,518
  4. Step 4: Simplify right side
    588,790x = 260,430,554,643.60
  5. Step 5: Solve for x
    x = 260,430,554,643.60/588,790
  6. Step 6: Final answer
    x = 442,314.84

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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.