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Finding the Fourth Proportional to 538,814.60, 808,221.90 and 433,838.60

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Solution

The fourth proportional to 538,814.60, 808,221.90 and 433,838.60 is: 650,757.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,814.60 : 808,221.90 = 433,838.60 : x
  2. Step 2: Convert to fraction form
    538,814.60/808,221.90 = 433,838.60/x
  3. Step 3: Cross multiply
    538,814.60x = 808,221.90 × 433,838.60
  4. Step 4: Simplify right side
    538,814.60x = 350,637,857,585.34
  5. Step 5: Solve for x
    x = 350,637,857,585.34/538,814.60
  6. Step 6: Final answer
    x = 650,757.90

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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.