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Finding the Fourth Proportional to 313,748.80, 470,623.20 and 103,359.40

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Solution

The fourth proportional to 313,748.80, 470,623.20 and 103,359.40 is: 155,039.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,748.80 : 470,623.20 = 103,359.40 : x
  2. Step 2: Convert to fraction form
    313,748.80/470,623.20 = 103,359.40/x
  3. Step 3: Cross multiply
    313,748.80x = 470,623.20 × 103,359.40
  4. Step 4: Simplify right side
    313,748.80x = 48,643,331,578.08
  5. Step 5: Solve for x
    x = 48,643,331,578.08/313,748.80
  6. Step 6: Final answer
    x = 155,039.10

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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.