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Finding the Fourth Proportional to 349,768.80, 524,869.20 and 139,384.80

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Solution

The fourth proportional to 349,768.80, 524,869.20 and 139,384.80 is: 209,163.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,768.80 : 524,869.20 = 139,384.80 : x
  2. Step 2: Convert to fraction form
    349,768.80/524,869.20 = 139,384.80/x
  3. Step 3: Cross multiply
    349,768.80x = 524,869.20 × 139,384.80
  4. Step 4: Simplify right side
    349,768.80x = 73,158,788,468.16
  5. Step 5: Solve for x
    x = 73,158,788,468.16/349,768.80
  6. Step 6: Final answer
    x = 209,163.28

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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.