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Finding the Fourth Proportional to 349,712.80, 524,785.20 and 139,328.80

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Solution

The fourth proportional to 349,712.80, 524,785.20 and 139,328.80 is: 209,079.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,712.80 : 524,785.20 = 139,328.80 : x
  2. Step 2: Convert to fraction form
    349,712.80/524,785.20 = 139,328.80/x
  3. Step 3: Cross multiply
    349,712.80x = 524,785.20 × 139,328.80
  4. Step 4: Simplify right side
    349,712.80x = 73,117,692,173.76
  5. Step 5: Solve for x
    x = 73,117,692,173.76/349,712.80
  6. Step 6: Final answer
    x = 209,079.26

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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.