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Finding the Fourth Proportional to 538,908.80, 807,366.90 and 314,376.80

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Solution

The fourth proportional to 538,908.80, 807,366.90 and 314,376.80 is: 470,984.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,908.80 : 807,366.90 = 314,376.80 : x
  2. Step 2: Convert to fraction form
    538,908.80/807,366.90 = 314,376.80/x
  3. Step 3: Cross multiply
    538,908.80x = 807,366.90 × 314,376.80
  4. Step 4: Simplify right side
    538,908.80x = 253,817,422,447.92
  5. Step 5: Solve for x
    x = 253,817,422,447.92/538,908.80
  6. Step 6: Final answer
    x = 470,984.00

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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.