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Finding the Fourth Proportional to 383,499.28, 575,248.80 and 117,259.77

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Solution

The fourth proportional to 383,499.28, 575,248.80 and 117,259.77 is: 175,889.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,499.28 : 575,248.80 = 117,259.77 : x
  2. Step 2: Convert to fraction form
    383,499.28/575,248.80 = 117,259.77/x
  3. Step 3: Cross multiply
    383,499.28x = 575,248.80 × 117,259.77
  4. Step 4: Simplify right side
    383,499.28x = 67,453,541,980.78
  5. Step 5: Solve for x
    x = 67,453,541,980.78/383,499.28
  6. Step 6: Final answer
    x = 175,889.62

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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.