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Finding the Fourth Proportional to 540,465.42, 745,809.86 and 298,733.58

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Solution

The fourth proportional to 540,465.42, 745,809.86 and 298,733.58 is: 412,234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,465.42 : 745,809.86 = 298,733.58 : x
  2. Step 2: Convert to fraction form
    540,465.42/745,809.86 = 298,733.58/x
  3. Step 3: Cross multiply
    540,465.42x = 745,809.86 × 298,733.58
  4. Step 4: Simplify right side
    540,465.42x = 222,798,450,223.93
  5. Step 5: Solve for x
    x = 222,798,450,223.93/540,465.42
  6. Step 6: Final answer
    x = 412,234.42

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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.