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Finding the Fourth Proportional to 514,455.84, 709,978.56 and 288,099.36

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Solution

The fourth proportional to 514,455.84, 709,978.56 and 288,099.36 is: 397,593.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,455.84 : 709,978.56 = 288,099.36 : x
  2. Step 2: Convert to fraction form
    514,455.84/709,978.56 = 288,099.36/x
  3. Step 3: Cross multiply
    514,455.84x = 709,978.56 × 288,099.36
  4. Step 4: Simplify right side
    514,455.84x = 204,544,368,749.72
  5. Step 5: Solve for x
    x = 204,544,368,749.72/514,455.84
  6. Step 6: Final answer
    x = 397,593.64

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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.