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Finding the Fourth Proportional to 430,399, 645,702.20 and 134,911

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Solution

The fourth proportional to 430,399, 645,702.20 and 134,911 is: 202,399.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,399 : 645,702.20 = 134,911 : x
  2. Step 2: Convert to fraction form
    430,399/645,702.20 = 134,911/x
  3. Step 3: Cross multiply
    430,399x = 645,702.20 × 134,911
  4. Step 4: Simplify right side
    430,399x = 87,112,329,504.20
  5. Step 5: Solve for x
    x = 87,112,329,504.20/430,399
  6. Step 6: Final answer
    x = 202,399.01

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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.