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Finding the Fourth Proportional to 430,685.39, 645,978.87 and 115,166.90

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Solution

The fourth proportional to 430,685.39, 645,978.87 and 115,166.90 is: 172,737.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,685.39 : 645,978.87 = 115,166.90 : x
  2. Step 2: Convert to fraction form
    430,685.39/645,978.87 = 115,166.90/x
  3. Step 3: Cross multiply
    430,685.39x = 645,978.87 × 115,166.90
  4. Step 4: Simplify right side
    430,685.39x = 74,395,380,693.51
  5. Step 5: Solve for x
    x = 74,395,380,693.51/430,685.39
  6. Step 6: Final answer
    x = 172,737.18

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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.