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Finding the Fourth Proportional to 384,178.80, 575,101.80 and 342,188.40

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Solution

The fourth proportional to 384,178.80, 575,101.80 and 342,188.40 is: 512,243.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,178.80 : 575,101.80 = 342,188.40 : x
  2. Step 2: Convert to fraction form
    384,178.80/575,101.80 = 342,188.40/x
  3. Step 3: Cross multiply
    384,178.80x = 575,101.80 × 342,188.40
  4. Step 4: Simplify right side
    384,178.80x = 196,793,164,779.12
  5. Step 5: Solve for x
    x = 196,793,164,779.12/384,178.80
  6. Step 6: Final answer
    x = 512,243.69

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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.