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Finding the Fourth Proportional to 270,143.28, 405,215.04 and 70,463.40

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Solution

The fourth proportional to 270,143.28, 405,215.04 and 70,463.40 is: 105,695.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,143.28 : 405,215.04 = 70,463.40 : x
  2. Step 2: Convert to fraction form
    270,143.28/405,215.04 = 70,463.40/x
  3. Step 3: Cross multiply
    270,143.28x = 405,215.04 × 70,463.40
  4. Step 4: Simplify right side
    270,143.28x = 28,552,829,449.54
  5. Step 5: Solve for x
    x = 28,552,829,449.54/270,143.28
  6. Step 6: Final answer
    x = 105,695.13

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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.