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Finding the Fourth Proportional to 513,063.72, 708,022.80 and 286,709.22

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Solution

The fourth proportional to 513,063.72, 708,022.80 and 286,709.22 is: 395,655.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,063.72 : 708,022.80 = 286,709.22 : x
  2. Step 2: Convert to fraction form
    513,063.72/708,022.80 = 286,709.22/x
  3. Step 3: Cross multiply
    513,063.72x = 708,022.80 × 286,709.22
  4. Step 4: Simplify right side
    513,063.72x = 202,996,664,730.22
  5. Step 5: Solve for x
    x = 202,996,664,730.22/513,063.72
  6. Step 6: Final answer
    x = 395,655.85

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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.