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Finding the Fourth Proportional to 408,715.84, 612,512.64 and 208,614.72

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Solution

The fourth proportional to 408,715.84, 612,512.64 and 208,614.72 is: 312,635.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,715.84 : 612,512.64 = 208,614.72 : x
  2. Step 2: Convert to fraction form
    408,715.84/612,512.64 = 208,614.72/x
  3. Step 3: Cross multiply
    408,715.84x = 612,512.64 × 208,614.72
  4. Step 4: Simplify right side
    408,715.84x = 127,779,152,890.06
  5. Step 5: Solve for x
    x = 127,779,152,890.06/408,715.84
  6. Step 6: Final answer
    x = 312,635.68

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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.