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Finding the Fourth Proportional to 646,256.50, 891,854.49 and 404,461.78

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Solution

The fourth proportional to 646,256.50, 891,854.49 and 404,461.78 is: 558,170.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,256.50 : 891,854.49 = 404,461.78 : x
  2. Step 2: Convert to fraction form
    646,256.50/891,854.49 = 404,461.78/x
  3. Step 3: Cross multiply
    646,256.50x = 891,854.49 × 404,461.78
  4. Step 4: Simplify right side
    646,256.50x = 360,721,054,526.39
  5. Step 5: Solve for x
    x = 360,721,054,526.39/646,256.50
  6. Step 6: Final answer
    x = 558,170.10

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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.