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Finding the Fourth Proportional to 514,776.84, 710,390.79 and 282,203.37

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Solution

The fourth proportional to 514,776.84, 710,390.79 and 282,203.37 is: 389,439.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,776.84 : 710,390.79 = 282,203.37 : x
  2. Step 2: Convert to fraction form
    514,776.84/710,390.79 = 282,203.37/x
  3. Step 3: Cross multiply
    514,776.84x = 710,390.79 × 282,203.37
  4. Step 4: Simplify right side
    514,776.84x = 200,474,674,954.96
  5. Step 5: Solve for x
    x = 200,474,674,954.96/514,776.84
  6. Step 6: Final answer
    x = 389,439.97

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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.