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Finding the Fourth Proportional to 513,465.66, 770,380.94 and 229,130.34

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Solution

The fourth proportional to 513,465.66, 770,380.94 and 229,130.34 is: 343,776.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,465.66 : 770,380.94 = 229,130.34 : x
  2. Step 2: Convert to fraction form
    513,465.66/770,380.94 = 229,130.34/x
  3. Step 3: Cross multiply
    513,465.66x = 770,380.94 × 229,130.34
  4. Step 4: Simplify right side
    513,465.66x = 176,517,646,711.72
  5. Step 5: Solve for x
    x = 176,517,646,711.72/513,465.66
  6. Step 6: Final answer
    x = 343,776.93

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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.