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Finding the Fourth Proportional to 443,644.95, 665,303.40 and 144,135.30

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Solution

The fourth proportional to 443,644.95, 665,303.40 and 144,135.30 is: 216,149.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,644.95 : 665,303.40 = 144,135.30 : x
  2. Step 2: Convert to fraction form
    443,644.95/665,303.40 = 144,135.30/x
  3. Step 3: Cross multiply
    443,644.95x = 665,303.40 × 144,135.30
  4. Step 4: Simplify right side
    443,644.95x = 95,893,705,150.02
  5. Step 5: Solve for x
    x = 95,893,705,150.02/443,644.95
  6. Step 6: Final answer
    x = 216,149.66

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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.