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Finding the Fourth Proportional to 314,580.84, 471,945.78 and 137,119.56

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Solution

The fourth proportional to 314,580.84, 471,945.78 and 137,119.56 is: 205,711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,580.84 : 471,945.78 = 137,119.56 : x
  2. Step 2: Convert to fraction form
    314,580.84/471,945.78 = 137,119.56/x
  3. Step 3: Cross multiply
    314,580.84x = 471,945.78 × 137,119.56
  4. Step 4: Simplify right side
    314,580.84x = 64,712,997,697.46
  5. Step 5: Solve for x
    x = 64,712,997,697.46/314,580.84
  6. Step 6: Final answer
    x = 205,711.82

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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.