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Finding the Fourth Proportional to 375,854.13, 563,704.70 and 139,140.54

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Solution

The fourth proportional to 375,854.13, 563,704.70 and 139,140.54 is: 208,682.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,854.13 : 563,704.70 = 139,140.54 : x
  2. Step 2: Convert to fraction form
    375,854.13/563,704.70 = 139,140.54/x
  3. Step 3: Cross multiply
    375,854.13x = 563,704.70 × 139,140.54
  4. Step 4: Simplify right side
    375,854.13x = 78,434,175,662.84
  5. Step 5: Solve for x
    x = 78,434,175,662.84/375,854.13
  6. Step 6: Final answer
    x = 208,682.49

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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.