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Finding the Fourth Proportional to 686,263.80, 1,029,800.10 and 286,873.80

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Solution

The fourth proportional to 686,263.80, 1,029,800.10 and 286,873.80 is: 430,479.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,263.80 : 1,029,800.10 = 286,873.80 : x
  2. Step 2: Convert to fraction form
    686,263.80/1,029,800.10 = 286,873.80/x
  3. Step 3: Cross multiply
    686,263.80x = 1,029,800.10 × 286,873.80
  4. Step 4: Simplify right side
    686,263.80x = 295,422,667,927.38
  5. Step 5: Solve for x
    x = 295,422,667,927.38/686,263.80
  6. Step 6: Final answer
    x = 430,479.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.