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Finding the Fourth Proportional to 313,928.30, 470,892.46 and 103,538.90

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Solution

The fourth proportional to 313,928.30, 470,892.46 and 103,538.90 is: 155,308.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,928.30 : 470,892.46 = 103,538.90 : x
  2. Step 2: Convert to fraction form
    313,928.30/470,892.46 = 103,538.90/x
  3. Step 3: Cross multiply
    313,928.30x = 470,892.46 × 103,538.90
  4. Step 4: Simplify right side
    313,928.30x = 48,755,687,326.69
  5. Step 5: Solve for x
    x = 48,755,687,326.69/313,928.30
  6. Step 6: Final answer
    x = 155,308.35

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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.