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Finding the Fourth Proportional to 513,225.44, 708,252 and 286,870.76

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Solution

The fourth proportional to 513,225.44, 708,252 and 286,870.76 is: 395,882.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,225.44 : 708,252 = 286,870.76 : x
  2. Step 2: Convert to fraction form
    513,225.44/708,252 = 286,870.76/x
  3. Step 3: Cross multiply
    513,225.44x = 708,252 × 286,870.76
  4. Step 4: Simplify right side
    513,225.44x = 203,176,789,511.52
  5. Step 5: Solve for x
    x = 203,176,789,511.52/513,225.44
  6. Step 6: Final answer
    x = 395,882.15

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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.