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Finding the Fourth Proportional to 383,987.61, 575,989.71 and 117,742.23

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Solution

The fourth proportional to 383,987.61, 575,989.71 and 117,742.23 is: 176,615.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,987.61 : 575,989.71 = 117,742.23 : x
  2. Step 2: Convert to fraction form
    383,987.61/575,989.71 = 117,742.23/x
  3. Step 3: Cross multiply
    383,987.61x = 575,989.71 × 117,742.23
  4. Step 4: Simplify right side
    383,987.61x = 67,818,312,912.45
  5. Step 5: Solve for x
    x = 67,818,312,912.45/383,987.61
  6. Step 6: Final answer
    x = 176,615.89

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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.