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Finding the Fourth Proportional to 513,560.84, 708,688.50 and 284,109.32

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Solution

The fourth proportional to 513,560.84, 708,688.50 and 284,109.32 is: 392,056.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,560.84 : 708,688.50 = 284,109.32 : x
  2. Step 2: Convert to fraction form
    513,560.84/708,688.50 = 284,109.32/x
  3. Step 3: Cross multiply
    513,560.84x = 708,688.50 × 284,109.32
  4. Step 4: Simplify right side
    513,560.84x = 201,345,007,826.82
  5. Step 5: Solve for x
    x = 201,345,007,826.82/513,560.84
  6. Step 6: Final answer
    x = 392,056.78

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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.