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Finding the Fourth Proportional to 430,774.39, 646,112.44 and 115,255.63

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Solution

The fourth proportional to 430,774.39, 646,112.44 and 115,255.63 is: 172,870.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,774.39 : 646,112.44 = 115,255.63 : x
  2. Step 2: Convert to fraction form
    430,774.39/646,112.44 = 115,255.63/x
  3. Step 3: Cross multiply
    430,774.39x = 646,112.44 × 115,255.63
  4. Step 4: Simplify right side
    430,774.39x = 74,468,096,323.04
  5. Step 5: Solve for x
    x = 74,468,096,323.04/430,774.39
  6. Step 6: Final answer
    x = 172,870.30

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1.5x scale

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.