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Finding the Fourth Proportional to 272,956.40, 409,288.80 and 115,006.40

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Solution

The fourth proportional to 272,956.40, 409,288.80 and 115,006.40 is: 172,448.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,956.40 : 409,288.80 = 115,006.40 : x
  2. Step 2: Convert to fraction form
    272,956.40/409,288.80 = 115,006.40/x
  3. Step 3: Cross multiply
    272,956.40x = 409,288.80 × 115,006.40
  4. Step 4: Simplify right side
    272,956.40x = 47,070,831,448.32
  5. Step 5: Solve for x
    x = 47,070,831,448.32/272,956.40
  6. Step 6: Final answer
    x = 172,448.17

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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.