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Finding the Fourth Proportional to 550,014, 758,443.64 and 407,073.84

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Solution

The fourth proportional to 550,014, 758,443.64 and 407,073.84 is: 561,335.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,014 : 758,443.64 = 407,073.84 : x
  2. Step 2: Convert to fraction form
    550,014/758,443.64 = 407,073.84/x
  3. Step 3: Cross multiply
    550,014x = 758,443.64 × 407,073.84
  4. Step 4: Simplify right side
    550,014x = 308,742,564,958.38
  5. Step 5: Solve for x
    x = 308,742,564,958.38/550,014
  6. Step 6: Final answer
    x = 561,335.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.