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Finding the Fourth Proportional to 313,903.60, 470,855.40 and 103,530.40

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Solution

The fourth proportional to 313,903.60, 470,855.40 and 103,530.40 is: 155,295.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,903.60 : 470,855.40 = 103,530.40 : x
  2. Step 2: Convert to fraction form
    313,903.60/470,855.40 = 103,530.40/x
  3. Step 3: Cross multiply
    313,903.60x = 470,855.40 × 103,530.40
  4. Step 4: Simplify right side
    313,903.60x = 48,747,847,904.16
  5. Step 5: Solve for x
    x = 48,747,847,904.16/313,903.60
  6. Step 6: Final answer
    x = 155,295.60

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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.