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Finding the Fourth Proportional to 313,594.32, 470,397.76 and 100,402.93

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Solution

The fourth proportional to 313,594.32, 470,397.76 and 100,402.93 is: 150,606.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,594.32 : 470,397.76 = 100,402.93 : x
  2. Step 2: Convert to fraction form
    313,594.32/470,397.76 = 100,402.93/x
  3. Step 3: Cross multiply
    313,594.32x = 470,397.76 × 100,402.93
  4. Step 4: Simplify right side
    313,594.32x = 47,229,311,942.44
  5. Step 5: Solve for x
    x = 47,229,311,942.44/313,594.32
  6. Step 6: Final answer
    x = 150,606.40

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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.