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Finding the Fourth Proportional to 538,290.36, 808,149.78 and 459,908.28

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Solution

The fourth proportional to 538,290.36, 808,149.78 and 459,908.28 is: 690,472.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,290.36 : 808,149.78 = 459,908.28 : x
  2. Step 2: Convert to fraction form
    538,290.36/808,149.78 = 459,908.28/x
  3. Step 3: Cross multiply
    538,290.36x = 808,149.78 × 459,908.28
  4. Step 4: Simplify right side
    538,290.36x = 371,674,775,302.18
  5. Step 5: Solve for x
    x = 371,674,775,302.18/538,290.36
  6. Step 6: Final answer
    x = 690,472.66

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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.