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Finding the Fourth Proportional to 256,332.51, 384,564.42 and 78,841.08

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Solution

The fourth proportional to 256,332.51, 384,564.42 and 78,841.08 is: 118,281.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,332.51 : 384,564.42 = 78,841.08 : x
  2. Step 2: Convert to fraction form
    256,332.51/384,564.42 = 78,841.08/x
  3. Step 3: Cross multiply
    256,332.51x = 384,564.42 × 78,841.08
  4. Step 4: Simplify right side
    256,332.51x = 30,319,474,202.37
  5. Step 5: Solve for x
    x = 30,319,474,202.37/256,332.51
  6. Step 6: Final answer
    x = 118,281.81

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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.