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Finding the Fourth Proportional to 514,688.99, 710,299.13 and 285,241.50

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Solution

The fourth proportional to 514,688.99, 710,299.13 and 285,241.50 is: 393,648.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,688.99 : 710,299.13 = 285,241.50 : x
  2. Step 2: Convert to fraction form
    514,688.99/710,299.13 = 285,241.50/x
  3. Step 3: Cross multiply
    514,688.99x = 710,299.13 × 285,241.50
  4. Step 4: Simplify right side
    514,688.99x = 202,606,787,863.69
  5. Step 5: Solve for x
    x = 202,606,787,863.69/514,688.99
  6. Step 6: Final answer
    x = 393,648.97

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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.