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Finding the Fourth Proportional to 384,078.87, 575,002.67 and 223,665.75

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Solution

The fourth proportional to 384,078.87, 575,002.67 and 223,665.75 is: 334,848.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,078.87 : 575,002.67 = 223,665.75 : x
  2. Step 2: Convert to fraction form
    384,078.87/575,002.67 = 223,665.75/x
  3. Step 3: Cross multiply
    384,078.87x = 575,002.67 × 223,665.75
  4. Step 4: Simplify right side
    384,078.87x = 128,608,402,319.22
  5. Step 5: Solve for x
    x = 128,608,402,319.22/384,078.87
  6. Step 6: Final answer
    x = 334,848.94

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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.