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Finding the Fourth Proportional to 430,420, 645,733.76 and 134,932

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Solution

The fourth proportional to 430,420, 645,733.76 and 134,932 is: 202,430.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,420 : 645,733.76 = 134,932 : x
  2. Step 2: Convert to fraction form
    430,420/645,733.76 = 134,932/x
  3. Step 3: Cross multiply
    430,420x = 645,733.76 × 134,932
  4. Step 4: Simplify right side
    430,420x = 87,130,147,704.32
  5. Step 5: Solve for x
    x = 87,130,147,704.32/430,420
  6. Step 6: Final answer
    x = 202,430.53

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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.