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Finding the Fourth Proportional to 513,510.30, 708,644.82 and 280,940.16

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Solution

The fourth proportional to 513,510.30, 708,644.82 and 280,940.16 is: 387,697.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,510.30 : 708,644.82 = 280,940.16 : x
  2. Step 2: Convert to fraction form
    513,510.30/708,644.82 = 280,940.16/x
  3. Step 3: Cross multiply
    513,510.30x = 708,644.82 × 280,940.16
  4. Step 4: Simplify right side
    513,510.30x = 199,086,789,113.97
  5. Step 5: Solve for x
    x = 199,086,789,113.97/513,510.30
  6. Step 6: Final answer
    x = 387,697.75

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1.5x scale

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.