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Finding the Fourth Proportional to 296,302.08, 408,406.40 and 220,823.04

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Solution

The fourth proportional to 296,302.08, 408,406.40 and 220,823.04 is: 304,370.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,302.08 : 408,406.40 = 220,823.04 : x
  2. Step 2: Convert to fraction form
    296,302.08/408,406.40 = 220,823.04/x
  3. Step 3: Cross multiply
    296,302.08x = 408,406.40 × 220,823.04
  4. Step 4: Simplify right side
    296,302.08x = 90,185,542,803.46
  5. Step 5: Solve for x
    x = 90,185,542,803.46/296,302.08
  6. Step 6: Final answer
    x = 304,370.27

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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.