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Finding the Fourth Proportional to 513,706.41, 708,990.06 and 295,873.21

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Solution

The fourth proportional to 513,706.41, 708,990.06 and 295,873.21 is: 408,348.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,706.41 : 708,990.06 = 295,873.21 : x
  2. Step 2: Convert to fraction form
    513,706.41/708,990.06 = 295,873.21/x
  3. Step 3: Cross multiply
    513,706.41x = 708,990.06 × 295,873.21
  4. Step 4: Simplify right side
    513,706.41x = 209,771,166,403.66
  5. Step 5: Solve for x
    x = 209,771,166,403.66/513,706.41
  6. Step 6: Final answer
    x = 408,348.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.