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Finding the Fourth Proportional to 507,818.81, 700,790.06 and 281,464.31

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Solution

The fourth proportional to 507,818.81, 700,790.06 and 281,464.31 is: 388,420.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,818.81 : 700,790.06 = 281,464.31 : x
  2. Step 2: Convert to fraction form
    507,818.81/700,790.06 = 281,464.31/x
  3. Step 3: Cross multiply
    507,818.81x = 700,790.06 × 281,464.31
  4. Step 4: Simplify right side
    507,818.81x = 197,247,393,148.40
  5. Step 5: Solve for x
    x = 197,247,393,148.40/507,818.81
  6. Step 6: Final answer
    x = 388,420.81

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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.