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Finding the Fourth Proportional to 314,359.83, 471,539.88 and 103,997.76

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Solution

The fourth proportional to 314,359.83, 471,539.88 and 103,997.76 is: 155,996.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,359.83 : 471,539.88 = 103,997.76 : x
  2. Step 2: Convert to fraction form
    314,359.83/471,539.88 = 103,997.76/x
  3. Step 3: Cross multiply
    314,359.83x = 471,539.88 × 103,997.76
  4. Step 4: Simplify right side
    314,359.83x = 49,039,091,270.67
  5. Step 5: Solve for x
    x = 49,039,091,270.67/314,359.83
  6. Step 6: Final answer
    x = 155,996.68

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1.5x scale

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.