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Finding the Fourth Proportional to 611,484.29, 917,289.31 and 162,205.69

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Solution

The fourth proportional to 611,484.29, 917,289.31 and 162,205.69 is: 243,325.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,484.29 : 917,289.31 = 162,205.69 : x
  2. Step 2: Convert to fraction form
    611,484.29/917,289.31 = 162,205.69/x
  3. Step 3: Cross multiply
    611,484.29x = 917,289.31 × 162,205.69
  4. Step 4: Simplify right side
    611,484.29x = 148,789,544,783.49
  5. Step 5: Solve for x
    x = 148,789,544,783.49/611,484.29
  6. Step 6: Final answer
    x = 243,325.21

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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.