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Finding the Fourth Proportional to 540,141.36, 745,384.68 and 298,434.48

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Solution

The fourth proportional to 540,141.36, 745,384.68 and 298,434.48 is: 411,833.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,141.36 : 745,384.68 = 298,434.48 : x
  2. Step 2: Convert to fraction form
    540,141.36/745,384.68 = 298,434.48/x
  3. Step 3: Cross multiply
    540,141.36x = 745,384.68 × 298,434.48
  4. Step 4: Simplify right side
    540,141.36x = 222,448,489,375.77
  5. Step 5: Solve for x
    x = 222,448,489,375.77/540,141.36
  6. Step 6: Final answer
    x = 411,833.84

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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.