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Finding the Fourth Proportional to 430,604, 646,010.40 and 135,116

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Solution

The fourth proportional to 430,604, 646,010.40 and 135,116 is: 202,706.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,604 : 646,010.40 = 135,116 : x
  2. Step 2: Convert to fraction form
    430,604/646,010.40 = 135,116/x
  3. Step 3: Cross multiply
    430,604x = 646,010.40 × 135,116
  4. Step 4: Simplify right side
    430,604x = 87,286,341,206.40
  5. Step 5: Solve for x
    x = 87,286,341,206.40/430,604
  6. Step 6: Final answer
    x = 202,706.76

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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.