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Finding the Fourth Proportional to 519,282.48, 716,609.40 and 280,818.48

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Solution

The fourth proportional to 519,282.48, 716,609.40 and 280,818.48 is: 387,529.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,282.48 : 716,609.40 = 280,818.48 : x
  2. Step 2: Convert to fraction form
    519,282.48/716,609.40 = 280,818.48/x
  3. Step 3: Cross multiply
    519,282.48x = 716,609.40 × 280,818.48
  4. Step 4: Simplify right side
    519,282.48x = 201,237,162,461.71
  5. Step 5: Solve for x
    x = 201,237,162,461.71/519,282.48
  6. Step 6: Final answer
    x = 387,529.27

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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.