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Finding the Fourth Proportional to 378,729.12, 522,663.12 and 217,636.32

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Solution

The fourth proportional to 378,729.12, 522,663.12 and 217,636.32 is: 300,347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,729.12 : 522,663.12 = 217,636.32 : x
  2. Step 2: Convert to fraction form
    378,729.12/522,663.12 = 217,636.32/x
  3. Step 3: Cross multiply
    378,729.12x = 522,663.12 × 217,636.32
  4. Step 4: Simplify right side
    378,729.12x = 113,750,478,036.52
  5. Step 5: Solve for x
    x = 113,750,478,036.52/378,729.12
  6. Step 6: Final answer
    x = 300,347.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.