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Finding the Fourth Proportional to 524,390.97, 786,021.30 and 253,946.55

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Solution

The fourth proportional to 524,390.97, 786,021.30 and 253,946.55 is: 380,646.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,390.97 : 786,021.30 = 253,946.55 : x
  2. Step 2: Convert to fraction form
    524,390.97/786,021.30 = 253,946.55/x
  3. Step 3: Cross multiply
    524,390.97x = 786,021.30 × 253,946.55
  4. Step 4: Simplify right side
    524,390.97x = 199,607,397,361.52
  5. Step 5: Solve for x
    x = 199,607,397,361.52/524,390.97
  6. Step 6: Final answer
    x = 380,646.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.