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Finding the Fourth Proportional to 287,253.28, 430,499.76 and 220,438.08

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Solution

The fourth proportional to 287,253.28, 430,499.76 and 220,438.08 is: 330,365.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,253.28 : 430,499.76 = 220,438.08 : x
  2. Step 2: Convert to fraction form
    287,253.28/430,499.76 = 220,438.08/x
  3. Step 3: Cross multiply
    287,253.28x = 430,499.76 × 220,438.08
  4. Step 4: Simplify right side
    287,253.28x = 94,898,540,534.86
  5. Step 5: Solve for x
    x = 94,898,540,534.86/287,253.28
  6. Step 6: Final answer
    x = 330,365.39

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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.