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Finding the Fourth Proportional to 253,564.80, 380,347.20 and 153,837.60

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Solution

The fourth proportional to 253,564.80, 380,347.20 and 153,837.60 is: 230,756.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,564.80 : 380,347.20 = 153,837.60 : x
  2. Step 2: Convert to fraction form
    253,564.80/380,347.20 = 153,837.60/x
  3. Step 3: Cross multiply
    253,564.80x = 380,347.20 × 153,837.60
  4. Step 4: Simplify right side
    253,564.80x = 58,511,700,414.72
  5. Step 5: Solve for x
    x = 58,511,700,414.72/253,564.80
  6. Step 6: Final answer
    x = 230,756.40

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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.