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Finding the Fourth Proportional to 430,097.80, 644,993.10 and 149,624.20

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Solution

The fourth proportional to 430,097.80, 644,993.10 and 149,624.20 is: 224,382.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,097.80 : 644,993.10 = 149,624.20 : x
  2. Step 2: Convert to fraction form
    430,097.80/644,993.10 = 149,624.20/x
  3. Step 3: Cross multiply
    430,097.80x = 644,993.10 × 149,624.20
  4. Step 4: Simplify right side
    430,097.80x = 96,506,576,593.02
  5. Step 5: Solve for x
    x = 96,506,576,593.02/430,097.80
  6. Step 6: Final answer
    x = 224,382.86

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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.