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Finding the Fourth Proportional to 347,985.88, 480,212.58 and 202,782.58

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Solution

The fourth proportional to 347,985.88, 480,212.58 and 202,782.58 is: 279,835.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,985.88 : 480,212.58 = 202,782.58 : x
  2. Step 2: Convert to fraction form
    347,985.88/480,212.58 = 202,782.58/x
  3. Step 3: Cross multiply
    347,985.88x = 480,212.58 × 202,782.58
  4. Step 4: Simplify right side
    347,985.88x = 97,378,745,920.86
  5. Step 5: Solve for x
    x = 97,378,745,920.86/347,985.88
  6. Step 6: Final answer
    x = 279,835.34

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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.