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Finding the Fourth Proportional to 384,359.60, 575,761.80 and 266,164.40

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Solution

The fourth proportional to 384,359.60, 575,761.80 and 266,164.40 is: 398,708.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,359.60 : 575,761.80 = 266,164.40 : x
  2. Step 2: Convert to fraction form
    384,359.60/575,761.80 = 266,164.40/x
  3. Step 3: Cross multiply
    384,359.60x = 575,761.80 × 266,164.40
  4. Step 4: Simplify right side
    384,359.60x = 153,247,294,039.92
  5. Step 5: Solve for x
    x = 153,247,294,039.92/384,359.60
  6. Step 6: Final answer
    x = 398,708.12

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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.