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Finding the Fourth Proportional to 513,664, 708,857.46 and 284,237.92

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Solution

The fourth proportional to 513,664, 708,857.46 and 284,237.92 is: 392,248.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,664 : 708,857.46 = 284,237.92 : x
  2. Step 2: Convert to fraction form
    513,664/708,857.46 = 284,237.92/x
  3. Step 3: Cross multiply
    513,664x = 708,857.46 × 284,237.92
  4. Step 4: Simplify right side
    513,664x = 201,484,170,006.88
  5. Step 5: Solve for x
    x = 201,484,170,006.88/513,664
  6. Step 6: Final answer
    x = 392,248.96

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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.