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Finding the Fourth Proportional to 430,049.55, 645,155.70 and 141,877.71

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Solution

The fourth proportional to 430,049.55, 645,155.70 and 141,877.71 is: 212,843.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,049.55 : 645,155.70 = 141,877.71 : x
  2. Step 2: Convert to fraction form
    430,049.55/645,155.70 = 141,877.71/x
  3. Step 3: Cross multiply
    430,049.55x = 645,155.70 × 141,877.71
  4. Step 4: Simplify right side
    430,049.55x = 91,533,213,309.45
  5. Step 5: Solve for x
    x = 91,533,213,309.45/430,049.55
  6. Step 6: Final answer
    x = 212,843.41

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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.