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Finding the Fourth Proportional to 430,706.94, 646,009.53 and 115,188.30

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Solution

The fourth proportional to 430,706.94, 646,009.53 and 115,188.30 is: 172,768.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,706.94 : 646,009.53 = 115,188.30 : x
  2. Step 2: Convert to fraction form
    430,706.94/646,009.53 = 115,188.30/x
  3. Step 3: Cross multiply
    430,706.94x = 646,009.53 × 115,188.30
  4. Step 4: Simplify right side
    430,706.94x = 74,412,739,544.50
  5. Step 5: Solve for x
    x = 74,412,739,544.50/430,706.94
  6. Step 6: Final answer
    x = 172,768.84

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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.