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Finding the Fourth Proportional to 654,765.76, 903,586.08 and 386,493.76

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Solution

The fourth proportional to 654,765.76, 903,586.08 and 386,493.76 is: 533,366.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,765.76 : 903,586.08 = 386,493.76 : x
  2. Step 2: Convert to fraction form
    654,765.76/903,586.08 = 386,493.76/x
  3. Step 3: Cross multiply
    654,765.76x = 903,586.08 × 386,493.76
  4. Step 4: Simplify right side
    654,765.76x = 349,230,381,542.86
  5. Step 5: Solve for x
    x = 349,230,381,542.86/654,765.76
  6. Step 6: Final answer
    x = 533,366.90

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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.