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Finding the Fourth Proportional to 430,523.48, 645,809.48 and 131,013.80

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Solution

The fourth proportional to 430,523.48, 645,809.48 and 131,013.80 is: 196,528.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,523.48 : 645,809.48 = 131,013.80 : x
  2. Step 2: Convert to fraction form
    430,523.48/645,809.48 = 131,013.80/x
  3. Step 3: Cross multiply
    430,523.48x = 645,809.48 × 131,013.80
  4. Step 4: Simplify right side
    430,523.48x = 84,609,954,050.82
  5. Step 5: Solve for x
    x = 84,609,954,050.82/430,523.48
  6. Step 6: Final answer
    x = 196,528.08

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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.