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Finding the Fourth Proportional to 430,606.33, 645,254.61 and 205,656.98

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Solution

The fourth proportional to 430,606.33, 645,254.61 and 205,656.98 is: 308,172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,606.33 : 645,254.61 = 205,656.98 : x
  2. Step 2: Convert to fraction form
    430,606.33/645,254.61 = 205,656.98/x
  3. Step 3: Cross multiply
    430,606.33x = 645,254.61 × 205,656.98
  4. Step 4: Simplify right side
    430,606.33x = 132,701,110,426.19
  5. Step 5: Solve for x
    x = 132,701,110,426.19/430,606.33
  6. Step 6: Final answer
    x = 308,172.69

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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.