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Finding the Fourth Proportional to 514,004.94, 709,648.29 and 330,318

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Solution

The fourth proportional to 514,004.94, 709,648.29 and 330,318 is: 456,045.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,004.94 : 709,648.29 = 330,318 : x
  2. Step 2: Convert to fraction form
    514,004.94/709,648.29 = 330,318/x
  3. Step 3: Cross multiply
    514,004.94x = 709,648.29 × 330,318
  4. Step 4: Simplify right side
    514,004.94x = 234,409,603,856.22
  5. Step 5: Solve for x
    x = 234,409,603,856.22/514,004.94
  6. Step 6: Final answer
    x = 456,045.43

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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.