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Finding the Fourth Proportional to 313,783.98, 470,707.10 and 100,498.32

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Solution

The fourth proportional to 313,783.98, 470,707.10 and 100,498.32 is: 150,757.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,783.98 : 470,707.10 = 100,498.32 : x
  2. Step 2: Convert to fraction form
    313,783.98/470,707.10 = 100,498.32/x
  3. Step 3: Cross multiply
    313,783.98x = 470,707.10 × 100,498.32
  4. Step 4: Simplify right side
    313,783.98x = 47,305,272,636.45
  5. Step 5: Solve for x
    x = 47,305,272,636.45/313,783.98
  6. Step 6: Final answer
    x = 150,757.45

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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.