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Finding the Fourth Proportional to 430,089.59, 645,211.95 and 177,229.33

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Solution

The fourth proportional to 430,089.59, 645,211.95 and 177,229.33 is: 265,875.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,089.59 : 645,211.95 = 177,229.33 : x
  2. Step 2: Convert to fraction form
    430,089.59/645,211.95 = 177,229.33/x
  3. Step 3: Cross multiply
    430,089.59x = 645,211.95 × 177,229.33
  4. Step 4: Simplify right side
    430,089.59x = 114,350,481,606.49
  5. Step 5: Solve for x
    x = 114,350,481,606.49/430,089.59
  6. Step 6: Final answer
    x = 265,875.96

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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.