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Finding the Fourth Proportional to 525,274.47, 727,806.33 and 513,923.94

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Solution

The fourth proportional to 525,274.47, 727,806.33 and 513,923.94 is: 712,079.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,274.47 : 727,806.33 = 513,923.94 : x
  2. Step 2: Convert to fraction form
    525,274.47/727,806.33 = 513,923.94/x
  3. Step 3: Cross multiply
    525,274.47x = 727,806.33 × 513,923.94
  4. Step 4: Simplify right side
    525,274.47x = 374,037,096,670.54
  5. Step 5: Solve for x
    x = 374,037,096,670.54/525,274.47
  6. Step 6: Final answer
    x = 712,079.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.