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Finding the Fourth Proportional to 385,378.95, 577,320.30 and 283,992.96

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Solution

The fourth proportional to 385,378.95, 577,320.30 and 283,992.96 is: 425,438.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,378.95 : 577,320.30 = 283,992.96 : x
  2. Step 2: Convert to fraction form
    385,378.95/577,320.30 = 283,992.96/x
  3. Step 3: Cross multiply
    385,378.95x = 577,320.30 × 283,992.96
  4. Step 4: Simplify right side
    385,378.95x = 163,954,900,865.09
  5. Step 5: Solve for x
    x = 163,954,900,865.09/385,378.95
  6. Step 6: Final answer
    x = 425,438.13

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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.