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Finding the Fourth Proportional to 519,148.49, 716,423.56 and 289,703.36

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Solution

The fourth proportional to 519,148.49, 716,423.56 and 289,703.36 is: 399,789.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,148.49 : 716,423.56 = 289,703.36 : x
  2. Step 2: Convert to fraction form
    519,148.49/716,423.56 = 289,703.36/x
  3. Step 3: Cross multiply
    519,148.49x = 716,423.56 × 289,703.36
  4. Step 4: Simplify right side
    519,148.49x = 207,550,309,295.17
  5. Step 5: Solve for x
    x = 207,550,309,295.17/519,148.49
  6. Step 6: Final answer
    x = 399,789.88

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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.