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Finding the Fourth Proportional to 280,157.72, 420,360.11 and 147,005.87

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Solution

The fourth proportional to 280,157.72, 420,360.11 and 147,005.87 is: 220,573.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,157.72 : 420,360.11 = 147,005.87 : x
  2. Step 2: Convert to fraction form
    280,157.72/420,360.11 = 147,005.87/x
  3. Step 3: Cross multiply
    280,157.72x = 420,360.11 × 147,005.87
  4. Step 4: Simplify right side
    280,157.72x = 61,795,402,948.82
  5. Step 5: Solve for x
    x = 61,795,402,948.82/280,157.72
  6. Step 6: Final answer
    x = 220,573.62

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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.