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Finding the Fourth Proportional to 430,173.80, 645,260.70 and 149,719.40

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Solution

The fourth proportional to 430,173.80, 645,260.70 and 149,719.40 is: 224,579.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,173.80 : 645,260.70 = 149,719.40 : x
  2. Step 2: Convert to fraction form
    430,173.80/645,260.70 = 149,719.40/x
  3. Step 3: Cross multiply
    430,173.80x = 645,260.70 × 149,719.40
  4. Step 4: Simplify right side
    430,173.80x = 96,608,044,847.58
  5. Step 5: Solve for x
    x = 96,608,044,847.58/430,173.80
  6. Step 6: Final answer
    x = 224,579.10

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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.