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Finding the Fourth Proportional to 823,372, 1,136,253.36 and 446,540

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Solution

The fourth proportional to 823,372, 1,136,253.36 and 446,540 is: 616,225.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,372 : 1,136,253.36 = 446,540 : x
  2. Step 2: Convert to fraction form
    823,372/1,136,253.36 = 446,540/x
  3. Step 3: Cross multiply
    823,372x = 1,136,253.36 × 446,540
  4. Step 4: Simplify right side
    823,372x = 507,382,575,374.40
  5. Step 5: Solve for x
    x = 507,382,575,374.40/823,372
  6. Step 6: Final answer
    x = 616,225.20

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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.