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Finding the Fourth Proportional to 430,400, 645,703.68 and 134,912

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Solution

The fourth proportional to 430,400, 645,703.68 and 134,912 is: 202,400.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,400 : 645,703.68 = 134,912 : x
  2. Step 2: Convert to fraction form
    430,400/645,703.68 = 134,912/x
  3. Step 3: Cross multiply
    430,400x = 645,703.68 × 134,912
  4. Step 4: Simplify right side
    430,400x = 87,113,174,876.16
  5. Step 5: Solve for x
    x = 87,113,174,876.16/430,400
  6. Step 6: Final answer
    x = 202,400.50

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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.