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Finding the Fourth Proportional to 524,638.31, 786,740.20 and 164,688.89

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Solution

The fourth proportional to 524,638.31, 786,740.20 and 164,688.89 is: 246,965.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,638.31 : 786,740.20 = 164,688.89 : x
  2. Step 2: Convert to fraction form
    524,638.31/786,740.20 = 164,688.89/x
  3. Step 3: Cross multiply
    524,638.31x = 786,740.20 × 164,688.89
  4. Step 4: Simplify right side
    524,638.31x = 129,567,365,910.96
  5. Step 5: Solve for x
    x = 129,567,365,910.96/524,638.31
  6. Step 6: Final answer
    x = 246,965.13

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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.