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Finding the Fourth Proportional to 430,627.33, 645,506.77 and 270,817.47

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Solution

The fourth proportional to 430,627.33, 645,506.77 and 270,817.47 is: 405,953.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,627.33 : 645,506.77 = 270,817.47 : x
  2. Step 2: Convert to fraction form
    430,627.33/645,506.77 = 270,817.47/x
  3. Step 3: Cross multiply
    430,627.33x = 645,506.77 × 270,817.47
  4. Step 4: Simplify right side
    430,627.33x = 174,814,510,657.79
  5. Step 5: Solve for x
    x = 174,814,510,657.79/430,627.33
  6. Step 6: Final answer
    x = 405,953.13

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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.