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Finding the Fourth Proportional to 340,661.98, 510,993.75 and 319,853.36

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Solution

The fourth proportional to 340,661.98, 510,993.75 and 319,853.36 is: 479,780.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,661.98 : 510,993.75 = 319,853.36 : x
  2. Step 2: Convert to fraction form
    340,661.98/510,993.75 = 319,853.36/x
  3. Step 3: Cross multiply
    340,661.98x = 510,993.75 × 319,853.36
  4. Step 4: Simplify right side
    340,661.98x = 163,443,068,238.86
  5. Step 5: Solve for x
    x = 163,443,068,238.86/340,661.98
  6. Step 6: Final answer
    x = 479,780.77

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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.