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Finding the Fourth Proportional to 414,642.59, 621,315.88 and 288,529.23

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Solution

The fourth proportional to 414,642.59, 621,315.88 and 288,529.23 is: 432,342.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,642.59 : 621,315.88 = 288,529.23 : x
  2. Step 2: Convert to fraction form
    414,642.59/621,315.88 = 288,529.23/x
  3. Step 3: Cross multiply
    414,642.59x = 621,315.88 × 288,529.23
  4. Step 4: Simplify right side
    414,642.59x = 179,267,791,721.85
  5. Step 5: Solve for x
    x = 179,267,791,721.85/414,642.59
  6. Step 6: Final answer
    x = 432,342.93

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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.