Home / 313,828.20-470,742.30-288,023.40

Finding the Fourth Proportional to 313,828.20, 470,742.30 and 288,023.40

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Solution

The fourth proportional to 313,828.20, 470,742.30 and 288,023.40 is: 432,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,828.20 : 470,742.30 = 288,023.40 : x
  2. Step 2: Convert to fraction form
    313,828.20/470,742.30 = 288,023.40/x
  3. Step 3: Cross multiply
    313,828.20x = 470,742.30 × 288,023.40
  4. Step 4: Simplify right side
    313,828.20x = 135,584,797,769.82
  5. Step 5: Solve for x
    x = 135,584,797,769.82/313,828.20
  6. Step 6: Final answer
    x = 432,035.10

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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.