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Finding the Fourth Proportional to 392,443.80, 588,665.70 and 313,711.80

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Solution

The fourth proportional to 392,443.80, 588,665.70 and 313,711.80 is: 470,567.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,443.80 : 588,665.70 = 313,711.80 : x
  2. Step 2: Convert to fraction form
    392,443.80/588,665.70 = 313,711.80/x
  3. Step 3: Cross multiply
    392,443.80x = 588,665.70 × 313,711.80
  4. Step 4: Simplify right side
    392,443.80x = 184,671,376,345.26
  5. Step 5: Solve for x
    x = 184,671,376,345.26/392,443.80
  6. Step 6: Final answer
    x = 470,567.70

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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.