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Finding the Fourth Proportional to 383,615, 575,398.40 and 117,354.36

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Solution

The fourth proportional to 383,615, 575,398.40 and 117,354.36 is: 176,024.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,615 : 575,398.40 = 117,354.36 : x
  2. Step 2: Convert to fraction form
    383,615/575,398.40 = 117,354.36/x
  3. Step 3: Cross multiply
    383,615x = 575,398.40 × 117,354.36
  4. Step 4: Simplify right side
    383,615x = 67,525,510,977.02
  5. Step 5: Solve for x
    x = 67,525,510,977.02/383,615
  6. Step 6: Final answer
    x = 176,024.17

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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.