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Finding the Fourth Proportional to 461,814.40, 693,358.08 and 319,309.48

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Solution

The fourth proportional to 461,814.40, 693,358.08 and 319,309.48 is: 479,404.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,814.40 : 693,358.08 = 319,309.48 : x
  2. Step 2: Convert to fraction form
    461,814.40/693,358.08 = 319,309.48/x
  3. Step 3: Cross multiply
    461,814.40x = 693,358.08 × 319,309.48
  4. Step 4: Simplify right side
    461,814.40x = 221,395,807,978.60
  5. Step 5: Solve for x
    x = 221,395,807,978.60/461,814.40
  6. Step 6: Final answer
    x = 479,404.30

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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.