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Finding the Fourth Proportional to 378,346.78, 567,603.21 and 112,128.16

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Solution

The fourth proportional to 378,346.78, 567,603.21 and 112,128.16 is: 168,216.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,346.78 : 567,603.21 = 112,128.16 : x
  2. Step 2: Convert to fraction form
    378,346.78/567,603.21 = 112,128.16/x
  3. Step 3: Cross multiply
    378,346.78x = 567,603.21 × 112,128.16
  4. Step 4: Simplify right side
    378,346.78x = 63,644,303,547.39
  5. Step 5: Solve for x
    x = 63,644,303,547.39/378,346.78
  6. Step 6: Final answer
    x = 168,216.85

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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.