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Finding the Fourth Proportional to 513,727.62, 708,933.50 and 284,284.76

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Solution

The fourth proportional to 513,727.62, 708,933.50 and 284,284.76 is: 392,307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,727.62 : 708,933.50 = 284,284.76 : x
  2. Step 2: Convert to fraction form
    513,727.62/708,933.50 = 284,284.76/x
  3. Step 3: Cross multiply
    513,727.62x = 708,933.50 × 284,284.76
  4. Step 4: Simplify right side
    513,727.62x = 201,538,991,590.29
  5. Step 5: Solve for x
    x = 201,538,991,590.29/513,727.62
  6. Step 6: Final answer
    x = 392,307.10

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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.