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Finding the Fourth Proportional to 314,251.02, 471,420.83 and 100,947.40

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Solution

The fourth proportional to 314,251.02, 471,420.83 and 100,947.40 is: 151,435.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,251.02 : 471,420.83 = 100,947.40 : x
  2. Step 2: Convert to fraction form
    314,251.02/471,420.83 = 100,947.40/x
  3. Step 3: Cross multiply
    314,251.02x = 471,420.83 × 100,947.40
  4. Step 4: Simplify right side
    314,251.02x = 47,588,707,094.34
  5. Step 5: Solve for x
    x = 47,588,707,094.34/314,251.02
  6. Step 6: Final answer
    x = 151,435.33

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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.