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Finding the Fourth Proportional to 823,312, 1,136,170.56 and 446,480

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Solution

The fourth proportional to 823,312, 1,136,170.56 and 446,480 is: 616,142.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,312 : 1,136,170.56 = 446,480 : x
  2. Step 2: Convert to fraction form
    823,312/1,136,170.56 = 446,480/x
  3. Step 3: Cross multiply
    823,312x = 1,136,170.56 × 446,480
  4. Step 4: Simplify right side
    823,312x = 507,277,431,628.80
  5. Step 5: Solve for x
    x = 507,277,431,628.80/823,312
  6. Step 6: Final answer
    x = 616,142.40

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1.5x scale

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.