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Finding the Fourth Proportional to 254,710.40, 381,628.20 and 165,918.20

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Solution

The fourth proportional to 254,710.40, 381,628.20 and 165,918.20 is: 248,592.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,710.40 : 381,628.20 = 165,918.20 : x
  2. Step 2: Convert to fraction form
    254,710.40/381,628.20 = 165,918.20/x
  3. Step 3: Cross multiply
    254,710.40x = 381,628.20 × 165,918.20
  4. Step 4: Simplify right side
    254,710.40x = 63,319,064,013.24
  5. Step 5: Solve for x
    x = 63,319,064,013.24/254,710.40
  6. Step 6: Final answer
    x = 248,592.38

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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.