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Finding the Fourth Proportional to 295,638.29, 407,980.76 and 159,672.20

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Solution

The fourth proportional to 295,638.29, 407,980.76 and 159,672.20 is: 220,347.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,638.29 : 407,980.76 = 159,672.20 : x
  2. Step 2: Convert to fraction form
    295,638.29/407,980.76 = 159,672.20/x
  3. Step 3: Cross multiply
    295,638.29x = 407,980.76 × 159,672.20
  4. Step 4: Simplify right side
    295,638.29x = 65,143,185,506.87
  5. Step 5: Solve for x
    x = 65,143,185,506.87/295,638.29
  6. Step 6: Final answer
    x = 220,347.59

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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.