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Finding the Fourth Proportional to 314,353.57, 471,530.50 and 103,991.50

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Solution

The fourth proportional to 314,353.57, 471,530.50 and 103,991.50 is: 155,987.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,353.57 : 471,530.50 = 103,991.50 : x
  2. Step 2: Convert to fraction form
    314,353.57/471,530.50 = 103,991.50/x
  3. Step 3: Cross multiply
    314,353.57x = 471,530.50 × 103,991.50
  4. Step 4: Simplify right side
    314,353.57x = 49,035,163,990.75
  5. Step 5: Solve for x
    x = 49,035,163,990.75/314,353.57
  6. Step 6: Final answer
    x = 155,987.30

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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.