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Finding the Fourth Proportional to 314,829.96, 472,105.95 and 90,139.40

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Solution

The fourth proportional to 314,829.96, 472,105.95 and 90,139.40 is: 135,169.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,829.96 : 472,105.95 = 90,139.40 : x
  2. Step 2: Convert to fraction form
    314,829.96/472,105.95 = 90,139.40/x
  3. Step 3: Cross multiply
    314,829.96x = 472,105.95 × 90,139.40
  4. Step 4: Simplify right side
    314,829.96x = 42,555,347,069.43
  5. Step 5: Solve for x
    x = 42,555,347,069.43/314,829.96
  6. Step 6: Final answer
    x = 135,169.31

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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.