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Finding the Fourth Proportional to 313,352.10, 470,109.15 and 135,818.10

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Solution

The fourth proportional to 313,352.10, 470,109.15 and 135,818.10 is: 203,762.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,352.10 : 470,109.15 = 135,818.10 : x
  2. Step 2: Convert to fraction form
    313,352.10/470,109.15 = 135,818.10/x
  3. Step 3: Cross multiply
    313,352.10x = 470,109.15 × 135,818.10
  4. Step 4: Simplify right side
    313,352.10x = 63,849,331,545.62
  5. Step 5: Solve for x
    x = 63,849,331,545.62/313,352.10
  6. Step 6: Final answer
    x = 203,762.26

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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.