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Finding the Fourth Proportional to 320,712, 481,058.07 and 152,353.50

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Solution

The fourth proportional to 320,712, 481,058.07 and 152,353.50 is: 228,525.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,712 : 481,058.07 = 152,353.50 : x
  2. Step 2: Convert to fraction form
    320,712/481,058.07 = 152,353.50/x
  3. Step 3: Cross multiply
    320,712x = 481,058.07 × 152,353.50
  4. Step 4: Simplify right side
    320,712x = 73,290,880,667.75
  5. Step 5: Solve for x
    x = 73,290,880,667.75/320,712
  6. Step 6: Final answer
    x = 228,525.53

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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.