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Finding the Fourth Proportional to 378,037.10, 567,055.65 and 258,286.70

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Solution

The fourth proportional to 378,037.10, 567,055.65 and 258,286.70 is: 387,430.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,037.10 : 567,055.65 = 258,286.70 : x
  2. Step 2: Convert to fraction form
    378,037.10/567,055.65 = 258,286.70/x
  3. Step 3: Cross multiply
    378,037.10x = 567,055.65 × 258,286.70
  4. Step 4: Simplify right side
    378,037.10x = 146,462,932,554.86
  5. Step 5: Solve for x
    x = 146,462,932,554.86/378,037.10
  6. Step 6: Final answer
    x = 387,430.05

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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.