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Finding the Fourth Proportional to 538,908.80, 808,363.20 and 328,956.80

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Solution

The fourth proportional to 538,908.80, 808,363.20 and 328,956.80 is: 493,435.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,908.80 : 808,363.20 = 328,956.80 : x
  2. Step 2: Convert to fraction form
    538,908.80/808,363.20 = 328,956.80/x
  3. Step 3: Cross multiply
    538,908.80x = 808,363.20 × 328,956.80
  4. Step 4: Simplify right side
    538,908.80x = 265,916,571,509.76
  5. Step 5: Solve for x
    x = 265,916,571,509.76/538,908.80
  6. Step 6: Final answer
    x = 493,435.20

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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.