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Finding the Fourth Proportional to 362,689.57, 500,365.38 and 219,200.50

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Solution

The fourth proportional to 362,689.57, 500,365.38 and 219,200.50 is: 302,408.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,689.57 : 500,365.38 = 219,200.50 : x
  2. Step 2: Convert to fraction form
    362,689.57/500,365.38 = 219,200.50/x
  3. Step 3: Cross multiply
    362,689.57x = 500,365.38 × 219,200.50
  4. Step 4: Simplify right side
    362,689.57x = 109,680,341,478.69
  5. Step 5: Solve for x
    x = 109,680,341,478.69/362,689.57
  6. Step 6: Final answer
    x = 302,408.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.