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Finding the Fourth Proportional to 823,374, 1,136,256.12 and 446,542

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Solution

The fourth proportional to 823,374, 1,136,256.12 and 446,542 is: 616,227.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,374 : 1,136,256.12 = 446,542 : x
  2. Step 2: Convert to fraction form
    823,374/1,136,256.12 = 446,542/x
  3. Step 3: Cross multiply
    823,374x = 1,136,256.12 × 446,542
  4. Step 4: Simplify right side
    823,374x = 507,386,080,337.04
  5. Step 5: Solve for x
    x = 507,386,080,337.04/823,374
  6. Step 6: Final answer
    x = 616,227.96

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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.