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Finding the Fourth Proportional to 385,462.56, 578,312.15 and 172,409.73

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Solution

The fourth proportional to 385,462.56, 578,312.15 and 172,409.73 is: 258,667.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,462.56 : 578,312.15 = 172,409.73 : x
  2. Step 2: Convert to fraction form
    385,462.56/578,312.15 = 172,409.73/x
  3. Step 3: Cross multiply
    385,462.56x = 578,312.15 × 172,409.73
  4. Step 4: Simplify right side
    385,462.56x = 99,706,640,775.17
  5. Step 5: Solve for x
    x = 99,706,640,775.17/385,462.56
  6. Step 6: Final answer
    x = 258,667.51

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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.