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Finding the Fourth Proportional to 430,500.06, 645,750.63 and 205,807.68

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Solution

The fourth proportional to 430,500.06, 645,750.63 and 205,807.68 is: 308,711.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,500.06 : 645,750.63 = 205,807.68 : x
  2. Step 2: Convert to fraction form
    430,500.06/645,750.63 = 205,807.68/x
  3. Step 3: Cross multiply
    430,500.06x = 645,750.63 × 205,807.68
  4. Step 4: Simplify right side
    430,500.06x = 132,900,439,018.84
  5. Step 5: Solve for x
    x = 132,900,439,018.84/430,500.06
  6. Step 6: Final answer
    x = 308,711.78

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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.