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Finding the Fourth Proportional to 588,770, 812,502.64 and 320,498

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Solution

The fourth proportional to 588,770, 812,502.64 and 320,498 is: 442,287.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,770 : 812,502.64 = 320,498 : x
  2. Step 2: Convert to fraction form
    588,770/812,502.64 = 320,498/x
  3. Step 3: Cross multiply
    588,770x = 812,502.64 × 320,498
  4. Step 4: Simplify right side
    588,770x = 260,405,471,114.72
  5. Step 5: Solve for x
    x = 260,405,471,114.72/588,770
  6. Step 6: Final answer
    x = 442,287.26

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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.