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Finding the Fourth Proportional to 293,638.51, 405,210.31 and 159,499.63

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Solution

The fourth proportional to 293,638.51, 405,210.31 and 159,499.63 is: 220,103.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,638.51 : 405,210.31 = 159,499.63 : x
  2. Step 2: Convert to fraction form
    293,638.51/405,210.31 = 159,499.63/x
  3. Step 3: Cross multiply
    293,638.51x = 405,210.31 × 159,499.63
  4. Step 4: Simplify right side
    293,638.51x = 64,630,894,517.19
  5. Step 5: Solve for x
    x = 64,630,894,517.19/293,638.51
  6. Step 6: Final answer
    x = 220,103.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.