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Finding the Fourth Proportional to 644,637.12, 966,866.40 and 171,360.96

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Solution

The fourth proportional to 644,637.12, 966,866.40 and 171,360.96 is: 257,017.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,637.12 : 966,866.40 = 171,360.96 : x
  2. Step 2: Convert to fraction form
    644,637.12/966,866.40 = 171,360.96/x
  3. Step 3: Cross multiply
    644,637.12x = 966,866.40 × 171,360.96
  4. Step 4: Simplify right side
    644,637.12x = 165,683,154,495.74
  5. Step 5: Solve for x
    x = 165,683,154,495.74/644,637.12
  6. Step 6: Final answer
    x = 257,017.71

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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.