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Finding the Fourth Proportional to 282,688.70, 424,090.62 and 254,457.36

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Solution

The fourth proportional to 282,688.70, 424,090.62 and 254,457.36 is: 381,737.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,688.70 : 424,090.62 = 254,457.36 : x
  2. Step 2: Convert to fraction form
    282,688.70/424,090.62 = 254,457.36/x
  3. Step 3: Cross multiply
    282,688.70x = 424,090.62 × 254,457.36
  4. Step 4: Simplify right side
    282,688.70x = 107,912,979,565.96
  5. Step 5: Solve for x
    x = 107,912,979,565.96/282,688.70
  6. Step 6: Final answer
    x = 381,737.87

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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.