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Finding the Fourth Proportional to 313,651.59, 470,713.98 and 145,290.05

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Solution

The fourth proportional to 313,651.59, 470,713.98 and 145,290.05 is: 218,044.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,651.59 : 470,713.98 = 145,290.05 : x
  2. Step 2: Convert to fraction form
    313,651.59/470,713.98 = 145,290.05/x
  3. Step 3: Cross multiply
    313,651.59x = 470,713.98 × 145,290.05
  4. Step 4: Simplify right side
    313,651.59x = 68,390,057,646.34
  5. Step 5: Solve for x
    x = 68,390,057,646.34/313,651.59
  6. Step 6: Final answer
    x = 218,044.67

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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.