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Finding the Fourth Proportional to 626,433.47, 864,478.76 and 339,953.57

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Solution

The fourth proportional to 626,433.47, 864,478.76 and 339,953.57 is: 469,136.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,433.47 : 864,478.76 = 339,953.57 : x
  2. Step 2: Convert to fraction form
    626,433.47/864,478.76 = 339,953.57/x
  3. Step 3: Cross multiply
    626,433.47x = 864,478.76 × 339,953.57
  4. Step 4: Simplify right side
    626,433.47x = 293,882,634,629.01
  5. Step 5: Solve for x
    x = 293,882,634,629.01/626,433.47
  6. Step 6: Final answer
    x = 469,136.23

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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.