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Finding the Fourth Proportional to 280,684.68, 420,890.54 and 93,633

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Solution

The fourth proportional to 280,684.68, 420,890.54 and 93,633 is: 140,403.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,684.68 : 420,890.54 = 93,633 : x
  2. Step 2: Convert to fraction form
    280,684.68/420,890.54 = 93,633/x
  3. Step 3: Cross multiply
    280,684.68x = 420,890.54 × 93,633
  4. Step 4: Simplify right side
    280,684.68x = 39,409,243,931.82
  5. Step 5: Solve for x
    x = 39,409,243,931.82/280,684.68
  6. Step 6: Final answer
    x = 140,403.97

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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.