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Finding the Fourth Proportional to 513,312.12, 770,099.58 and 213,693.12

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Solution

The fourth proportional to 513,312.12, 770,099.58 and 213,693.12 is: 320,594.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,312.12 : 770,099.58 = 213,693.12 : x
  2. Step 2: Convert to fraction form
    513,312.12/770,099.58 = 213,693.12/x
  3. Step 3: Cross multiply
    513,312.12x = 770,099.58 × 213,693.12
  4. Step 4: Simplify right side
    513,312.12x = 164,564,981,960.89
  5. Step 5: Solve for x
    x = 164,564,981,960.89/513,312.12
  6. Step 6: Final answer
    x = 320,594.38

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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.