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Finding the Fourth Proportional to 513,740.57, 708,944.57 and 284,307.56

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Solution

The fourth proportional to 513,740.57, 708,944.57 and 284,307.56 is: 392,334.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,740.57 : 708,944.57 = 284,307.56 : x
  2. Step 2: Convert to fraction form
    513,740.57/708,944.57 = 284,307.56/x
  3. Step 3: Cross multiply
    513,740.57x = 708,944.57 × 284,307.56
  4. Step 4: Simplify right side
    513,740.57x = 201,558,299,450.41
  5. Step 5: Solve for x
    x = 201,558,299,450.41/513,740.57
  6. Step 6: Final answer
    x = 392,334.80

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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.