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Finding the Fourth Proportional to 430,924, 646,456.04 and 127,348.96

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Solution

The fourth proportional to 430,924, 646,456.04 and 127,348.96 is: 191,044.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,924 : 646,456.04 = 127,348.96 : x
  2. Step 2: Convert to fraction form
    430,924/646,456.04 = 127,348.96/x
  3. Step 3: Cross multiply
    430,924x = 646,456.04 × 127,348.96
  4. Step 4: Simplify right side
    430,924x = 82,325,504,379.72
  5. Step 5: Solve for x
    x = 82,325,504,379.72/430,924
  6. Step 6: Final answer
    x = 191,044.14

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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.