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Finding the Fourth Proportional to 292,491.84, 438,764.54 and 82,128.36

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Solution

The fourth proportional to 292,491.84, 438,764.54 and 82,128.36 is: 123,200.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,491.84 : 438,764.54 = 82,128.36 : x
  2. Step 2: Convert to fraction form
    292,491.84/438,764.54 = 82,128.36/x
  3. Step 3: Cross multiply
    292,491.84x = 438,764.54 × 82,128.36
  4. Step 4: Simplify right side
    292,491.84x = 36,035,011,685.71
  5. Step 5: Solve for x
    x = 36,035,011,685.71/292,491.84
  6. Step 6: Final answer
    x = 123,200.06

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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.