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Finding the Fourth Proportional to 253,782.40, 380,414.40 and 148,547.20

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Solution

The fourth proportional to 253,782.40, 380,414.40 and 148,547.20 is: 222,669.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,782.40 : 380,414.40 = 148,547.20 : x
  2. Step 2: Convert to fraction form
    253,782.40/380,414.40 = 148,547.20/x
  3. Step 3: Cross multiply
    253,782.40x = 380,414.40 × 148,547.20
  4. Step 4: Simplify right side
    253,782.40x = 56,509,493,959.68
  5. Step 5: Solve for x
    x = 56,509,493,959.68/253,782.40
  6. Step 6: Final answer
    x = 222,669.08

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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.