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Finding the Fourth Proportional to 655,886.30, 905,124.98 and 380,297.57

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Solution

The fourth proportional to 655,886.30, 905,124.98 and 380,297.57 is: 524,811.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,886.30 : 905,124.98 = 380,297.57 : x
  2. Step 2: Convert to fraction form
    655,886.30/905,124.98 = 380,297.57/x
  3. Step 3: Cross multiply
    655,886.30x = 905,124.98 × 380,297.57
  4. Step 4: Simplify right side
    655,886.30x = 344,216,826,865.42
  5. Step 5: Solve for x
    x = 344,216,826,865.42/655,886.30
  6. Step 6: Final answer
    x = 524,811.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.