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Finding the Fourth Proportional to 313,900.56, 470,734.20 and 103,482

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Solution

The fourth proportional to 313,900.56, 470,734.20 and 103,482 is: 155,184.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,900.56 : 470,734.20 = 103,482 : x
  2. Step 2: Convert to fraction form
    313,900.56/470,734.20 = 103,482/x
  3. Step 3: Cross multiply
    313,900.56x = 470,734.20 × 103,482
  4. Step 4: Simplify right side
    313,900.56x = 48,712,516,484.40
  5. Step 5: Solve for x
    x = 48,712,516,484.40/313,900.56
  6. Step 6: Final answer
    x = 155,184.55

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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.