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Finding the Fourth Proportional to 305,903.90, 458,407.65 and 274,313.90

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Solution

The fourth proportional to 305,903.90, 458,407.65 and 274,313.90 is: 411,068.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,903.90 : 458,407.65 = 274,313.90 : x
  2. Step 2: Convert to fraction form
    305,903.90/458,407.65 = 274,313.90/x
  3. Step 3: Cross multiply
    305,903.90x = 458,407.65 × 274,313.90
  4. Step 4: Simplify right side
    305,903.90x = 125,747,590,261.34
  5. Step 5: Solve for x
    x = 125,747,590,261.34/305,903.90
  6. Step 6: Final answer
    x = 411,068.93

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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.