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Finding the Fourth Proportional to 538,907.94, 808,491.79 and 201,951.53

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Solution

The fourth proportional to 538,907.94, 808,491.79 and 201,951.53 is: 302,975.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,907.94 : 808,491.79 = 201,951.53 : x
  2. Step 2: Convert to fraction form
    538,907.94/808,491.79 = 201,951.53/x
  3. Step 3: Cross multiply
    538,907.94x = 808,491.79 × 201,951.53
  4. Step 4: Simplify right side
    538,907.94x = 163,276,154,994.41
  5. Step 5: Solve for x
    x = 163,276,154,994.41/538,907.94
  6. Step 6: Final answer
    x = 302,975.97

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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.