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Finding the Fourth Proportional to 390,723.84, 539,210.64 and 220,954.56

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Solution

The fourth proportional to 390,723.84, 539,210.64 and 220,954.56 is: 304,923.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,723.84 : 539,210.64 = 220,954.56 : x
  2. Step 2: Convert to fraction form
    390,723.84/539,210.64 = 220,954.56/x
  3. Step 3: Cross multiply
    390,723.84x = 539,210.64 × 220,954.56
  4. Step 4: Simplify right side
    390,723.84x = 119,141,049,708.52
  5. Step 5: Solve for x
    x = 119,141,049,708.52/390,723.84
  6. Step 6: Final answer
    x = 304,923.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.