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Finding the Fourth Proportional to 493,864.80, 741,142.80 and 316,802.40

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Solution

The fourth proportional to 493,864.80, 741,142.80 and 316,802.40 is: 475,425.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,864.80 : 741,142.80 = 316,802.40 : x
  2. Step 2: Convert to fraction form
    493,864.80/741,142.80 = 316,802.40/x
  3. Step 3: Cross multiply
    493,864.80x = 741,142.80 × 316,802.40
  4. Step 4: Simplify right side
    493,864.80x = 234,795,817,782.72
  5. Step 5: Solve for x
    x = 234,795,817,782.72/493,864.80
  6. Step 6: Final answer
    x = 475,425.29

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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.