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Finding the Fourth Proportional to 313,774.80, 470,662.20 and 103,419.60

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Solution

The fourth proportional to 313,774.80, 470,662.20 and 103,419.60 is: 155,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,774.80 : 470,662.20 = 103,419.60 : x
  2. Step 2: Convert to fraction form
    313,774.80/470,662.20 = 103,419.60/x
  3. Step 3: Cross multiply
    313,774.80x = 470,662.20 × 103,419.60
  4. Step 4: Simplify right side
    313,774.80x = 48,675,696,459.12
  5. Step 5: Solve for x
    x = 48,675,696,459.12/313,774.80
  6. Step 6: Final answer
    x = 155,129.40

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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.