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Finding the Fourth Proportional to 407,576.16, 610,502.40 and 257,739.12

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Solution

The fourth proportional to 407,576.16, 610,502.40 and 257,739.12 is: 386,063.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,576.16 : 610,502.40 = 257,739.12 : x
  2. Step 2: Convert to fraction form
    407,576.16/610,502.40 = 257,739.12/x
  3. Step 3: Cross multiply
    407,576.16x = 610,502.40 × 257,739.12
  4. Step 4: Simplify right side
    407,576.16x = 157,350,351,333.89
  5. Step 5: Solve for x
    x = 157,350,351,333.89/407,576.16
  6. Step 6: Final answer
    x = 386,063.68

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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.