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Finding the Fourth Proportional to 309,013.61, 463,447.80 and 174,136.46

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Solution

The fourth proportional to 309,013.61, 463,447.80 and 174,136.46 is: 261,163.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,013.61 : 463,447.80 = 174,136.46 : x
  2. Step 2: Convert to fraction form
    309,013.61/463,447.80 = 174,136.46/x
  3. Step 3: Cross multiply
    309,013.61x = 463,447.80 × 174,136.46
  4. Step 4: Simplify right side
    309,013.61x = 80,703,156,969.55
  5. Step 5: Solve for x
    x = 80,703,156,969.55/309,013.61
  6. Step 6: Final answer
    x = 261,163.77

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1.5x scale

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.