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Finding the Fourth Proportional to 382,909.83, 528,465.15 and 219,630.03

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Solution

The fourth proportional to 382,909.83, 528,465.15 and 219,630.03 is: 303,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,909.83 : 528,465.15 = 219,630.03 : x
  2. Step 2: Convert to fraction form
    382,909.83/528,465.15 = 219,630.03/x
  3. Step 3: Cross multiply
    382,909.83x = 528,465.15 × 219,630.03
  4. Step 4: Simplify right side
    382,909.83x = 116,066,816,748.46
  5. Step 5: Solve for x
    x = 116,066,816,748.46/382,909.83
  6. Step 6: Final answer
    x = 303,117.88

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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.