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Finding the Fourth Proportional to 253,853.08, 380,790.14 and 209,397.04

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Solution

The fourth proportional to 253,853.08, 380,790.14 and 209,397.04 is: 314,104.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,853.08 : 380,790.14 = 209,397.04 : x
  2. Step 2: Convert to fraction form
    253,853.08/380,790.14 = 209,397.04/x
  3. Step 3: Cross multiply
    253,853.08x = 380,790.14 × 209,397.04
  4. Step 4: Simplify right side
    253,853.08x = 79,736,328,177.19
  5. Step 5: Solve for x
    x = 79,736,328,177.19/253,853.08
  6. Step 6: Final answer
    x = 314,104.24

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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.