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Finding the Fourth Proportional to 430,388, 645,685.68 and 134,900

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Solution

The fourth proportional to 430,388, 645,685.68 and 134,900 is: 202,382.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,388 : 645,685.68 = 134,900 : x
  2. Step 2: Convert to fraction form
    430,388/645,685.68 = 134,900/x
  3. Step 3: Cross multiply
    430,388x = 645,685.68 × 134,900
  4. Step 4: Simplify right side
    430,388x = 87,102,998,232
  5. Step 5: Solve for x
    x = 87,102,998,232/430,388
  6. Step 6: Final answer
    x = 202,382.50

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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.