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Finding the Fourth Proportional to 287,088, 430,352.58 and 137,289.42

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Solution

The fourth proportional to 287,088, 430,352.58 and 137,289.42 is: 205,800.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,088 : 430,352.58 = 137,289.42 : x
  2. Step 2: Convert to fraction form
    287,088/430,352.58 = 137,289.42/x
  3. Step 3: Cross multiply
    287,088x = 430,352.58 × 137,289.42
  4. Step 4: Simplify right side
    287,088x = 59,082,856,103.70
  5. Step 5: Solve for x
    x = 59,082,856,103.70/287,088
  6. Step 6: Final answer
    x = 205,800.51

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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.