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Finding the Fourth Proportional to 384,000.30, 575,978.88 and 117,760.08

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Solution

The fourth proportional to 384,000.30, 575,978.88 and 117,760.08 is: 176,633.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,000.30 : 575,978.88 = 117,760.08 : x
  2. Step 2: Convert to fraction form
    384,000.30/575,978.88 = 117,760.08/x
  3. Step 3: Cross multiply
    384,000.30x = 575,978.88 × 117,760.08
  4. Step 4: Simplify right side
    384,000.30x = 67,827,318,987.11
  5. Step 5: Solve for x
    x = 67,827,318,987.11/384,000.30
  6. Step 6: Final answer
    x = 176,633.51

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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.