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Finding the Fourth Proportional to 313,185.72, 470,024.82 and 144,783.48

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Solution

The fourth proportional to 313,185.72, 470,024.82 and 144,783.48 is: 217,289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,185.72 : 470,024.82 = 144,783.48 : x
  2. Step 2: Convert to fraction form
    313,185.72/470,024.82 = 144,783.48/x
  3. Step 3: Cross multiply
    313,185.72x = 470,024.82 × 144,783.48
  4. Step 4: Simplify right side
    313,185.72x = 68,051,829,125.97
  5. Step 5: Solve for x
    x = 68,051,829,125.97/313,185.72
  6. Step 6: Final answer
    x = 217,289.05

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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.